Wavelet Family

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D. Herranz - One of the best experts on this subject based on the ideXlab platform.

  • EUSIPCO - The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

  • the mexican hat Wavelet Family application to point source detection in cosmic microwave background maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, M Lopezcaniego, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian–Mexican hat Wavelet pair and for that reason we call it the Mexican hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analysed for the channels at 30, 44 and 70 GHz of the forthcoming ESA Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point-source detection by comparing them with those obtained using the Mexican hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5 per cent reliability level, the first new members of the MHWF, at their ‘optimal scale’, provide three point-source catalogues on half of the sky (at Galactic latitude |b| > 30°) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy. By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5 per cent reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican hat Wavelet Family: application to point-source detection in cosmic microwave background maps: The Mexican hat Wavelet Family
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J. González-nuevo, Francisco Argüeso, M. López-caniego, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA's Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their ``optimal scale'', provide three point source catalogues on half of the sky (at galactic latitude |b|> 30) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • the mexican hat Wavelet Family application to point source detection in cmb maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M Lopezcaniego
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA’s Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their “optimal scale”, provide three point source catalogues on half of the sky (at galactic latitude |b| > 30 ◦ ) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006 14th European Signal Processing Conference, 2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

Francisco Argüeso - One of the best experts on this subject based on the ideXlab platform.

  • EUSIPCO - The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

  • the mexican hat Wavelet Family application to point source detection in cosmic microwave background maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, M Lopezcaniego, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian–Mexican hat Wavelet pair and for that reason we call it the Mexican hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analysed for the channels at 30, 44 and 70 GHz of the forthcoming ESA Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point-source detection by comparing them with those obtained using the Mexican hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5 per cent reliability level, the first new members of the MHWF, at their ‘optimal scale’, provide three point-source catalogues on half of the sky (at Galactic latitude |b| > 30°) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy. By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5 per cent reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican hat Wavelet Family: application to point-source detection in cosmic microwave background maps: The Mexican hat Wavelet Family
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J. González-nuevo, Francisco Argüeso, M. López-caniego, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA's Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their ``optimal scale'', provide three point source catalogues on half of the sky (at galactic latitude |b|> 30) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • the mexican hat Wavelet Family application to point source detection in cmb maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M Lopezcaniego
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA’s Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their “optimal scale”, provide three point source catalogues on half of the sky (at galactic latitude |b| > 30 ◦ ) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006 14th European Signal Processing Conference, 2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

J. L. Sanz - One of the best experts on this subject based on the ideXlab platform.

  • EUSIPCO - The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

  • the mexican hat Wavelet Family application to point source detection in cosmic microwave background maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, M Lopezcaniego, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian–Mexican hat Wavelet pair and for that reason we call it the Mexican hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analysed for the channels at 30, 44 and 70 GHz of the forthcoming ESA Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point-source detection by comparing them with those obtained using the Mexican hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5 per cent reliability level, the first new members of the MHWF, at their ‘optimal scale’, provide three point-source catalogues on half of the sky (at Galactic latitude |b| > 30°) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy. By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5 per cent reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican hat Wavelet Family: application to point-source detection in cosmic microwave background maps: The Mexican hat Wavelet Family
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J. González-nuevo, Francisco Argüeso, M. López-caniego, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA's Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their ``optimal scale'', provide three point source catalogues on half of the sky (at galactic latitude |b|> 30) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • the mexican hat Wavelet Family application to point source detection in cmb maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M Lopezcaniego
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA’s Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their “optimal scale”, provide three point source catalogues on half of the sky (at galactic latitude |b| > 30 ◦ ) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006 14th European Signal Processing Conference, 2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

M Lopezcaniego - One of the best experts on this subject based on the ideXlab platform.

  • the mexican hat Wavelet Family application to point source detection in cosmic microwave background maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, M Lopezcaniego, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian–Mexican hat Wavelet pair and for that reason we call it the Mexican hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analysed for the channels at 30, 44 and 70 GHz of the forthcoming ESA Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point-source detection by comparing them with those obtained using the Mexican hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5 per cent reliability level, the first new members of the MHWF, at their ‘optimal scale’, provide three point-source catalogues on half of the sky (at Galactic latitude |b| > 30°) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy. By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5 per cent reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • the mexican hat Wavelet Family application to point source detection in cmb maps
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J Gonzaleznuevo, Francisco Argüeso, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M Lopezcaniego
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA’s Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their “optimal scale”, provide three point source catalogues on half of the sky (at galactic latitude |b| > 30 ◦ ) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

J. González-nuevo - One of the best experts on this subject based on the ideXlab platform.

  • EUSIPCO - The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

  • The Mexican hat Wavelet Family: application to point-source detection in cosmic microwave background maps: The Mexican hat Wavelet Family
    Monthly Notices of the Royal Astronomical Society, 2006
    Co-Authors: J. González-nuevo, Francisco Argüeso, M. López-caniego, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz
    Abstract:

    We propose a new detection technique in the plane based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets when dealing with the detection of extragalactic point sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. Specifically, flat two-dimensional simulations of the microwave sky comprising all astrophysical components plus instrumental noise have been analyzed for the channels at 30, 44 and 70 GHz of the forthcoming ESA's Planck mission Low Frequency Instrument (LFI). We adopt up-to-date cosmological evolution models of extragalactic sources able to fit well the new data on high-frequency radio surveys and we discuss our current results on point source detection by comparing them with those obtained using the Mexican Hat Wavelet (MHW) technique, which has been already proven a suitable tool for detecting point sources. By assuming a 5% reliability level, the first new members of the MHWF, at their ``optimal scale'', provide three point source catalogues on half of the sky (at galactic latitude |b|> 30) at 30, 44 and 70 GHz of 639, 387 and 340 extragalactic sources, respectively. The corresponding flux detection limits are 0.38, 0.45 and 0.47 Jy . By using the same simulated sky patches and at the same frequencies as before, the MHW at its optimal scale provides 543, 322 and 311 sources with flux detection limits of 0.44, 0.51 and 0.50 Jy, respectively (5% reliability level). These results show a clear improvement when we use the new members of the MHWF and, in particular, the MHW2 with respect to the MHW.

  • The Mexican Hat Wavelet Family. Application to the study of non-Gaussianity in cosmic microwave background maps
    2006 14th European Signal Processing Conference, 2006
    Co-Authors: Francisco Argüeso, J. L. Sanz, D. Herranz, R.b. Barreiro, J. González-nuevo
    Abstract:

    The detection of the non-Gaussian signal due to extragalactic point sources and its separation from the possible intrinsic non-Gaussianity is an issue of great importance in the cosmic microwave background (CMB) analysis. The Mexican Hat Wavelet Family (MHWF), which has been proved very useful for the detection of extragalactic point sources, is applied here to the study of non-Gaussianity due to point sources in CMB maps. We carry out simulations of CMB maps with the characteristics of the forthcoming Planck mission at 70 and 100 GHz and filter them with the MHWF. By comparing the skewness and kurtosis of simulated maps with and without point sources, we are able to detect clearly the non Gaussian signal due to point sources for flux cuts as low as 0.4 Jy (70 GHz) and 0.3 Jy (100 GHz). The MHWF performs better in this respect than the Mexican Hat Wavelet and much better than the Daubechies 4 Wavelet.

  • EUSIPCO - The Mexican Hat Wavelet Family. Application to point source detection in cosmic microwave background maps
    2005
    Co-Authors: Francisco Argüeso, J. González-nuevo, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M. López-caniego
    Abstract:

    We propose a detection technique in 2D images based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets for dealing with the detection of point extragalactic sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. In particular, simulations for one channel (44 GHz) of the forthcoming Planck mission have been analysed. We present the results and compare them with those obtained using the Mexican Hat Wavelet technique (MHW), which has been proven a suitable tool for detecting point sources. The MHWF provides a point source catalogue at 44 GHz of 690 sources. Under the same conditions, the MHW provides 604 sources.

  • The Mexican Hat Wavelet Family. Application to point source detection in cosmic microwave background maps
    2005 13th European Signal Processing Conference, 2005
    Co-Authors: Francisco Argüeso, J. González-nuevo, L. Toffolatti, J. L. Sanz, P. Vielva, D. Herranz, M. López-caniego
    Abstract:

    We propose a detection technique in 2D images based on an isotropic Wavelet Family. This Family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet Family (MHWF). We show the performance of these Wavelets for dealing with the detection of point extragalactic sources in cosmic microwave background (CMB) maps: a very important issue within the most general problem of the component separation of the microwave sky. In particular, simulations for one channel (44 GHz) of the forthcoming Planck mission have been analysed. We present the results and compare them with those obtained using the Mexican Hat Wavelet technique (MHW), which has been proven a suitable tool for detecting point sources. The MHWF provides a point source catalogue at 44 GHz of 690 sources. Under the same conditions, the MHW provides 604 sources.