IIR Filter

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Javad Poshtan - One of the best experts on this subject based on the ideXlab platform.

  • a new adaptive recursive rls based fast array IIR Filter for active noise and vibration control systems
    Signal Processing, 2011
    Co-Authors: Allahyar Montazeri, Javad Poshtan
    Abstract:

    Infinite impulse response Filters have not been used extensively in active noise and vibration control applications. The problems are mainly due to the multimodal error surface and instability of adaptive IIR Filters used in such applications. Considering these, in this paper a new adaptive recursive RLS-based fast-array IIR Filter for active noise and vibration control applications is proposed. At first an RLS-based adaptive IIR Filter with computational complexity of order O(n^2) is derived, and a sufficient condition for its stability is proposed by applying passivity theorem on the equivalent feedback representation of this adaptive algorithm. In the second step, to reduce the computational complexity of the algorithm to the order of O(n) as well as to improve its numerical stability, a fast array implementation of this adaptive IIR Filter is derived. This is accomplished by extending the existing results of fast-array implementation of adaptive FIR Filters to adaptive IIR Filters. Comparison of the performance of the fast-array algorithm with that of Erikson's FuLMS and SHARF algorithms confirms that the proposed algorithm has faster convergence rate and ability to reach a lower minimum mean square error which is of great importance in active noise and vibration control applications.

  • a new adaptive recursive rls based fast array IIR Filter for active noise and vibration control systems
    Signal Processing, 2011
    Co-Authors: Allahyar Montazeri, Javad Poshtan
    Abstract:

    Infinite impulse response Filters have not been used extensively in active noise and vibration control applications. The problems are mainly due to the multimodal error surface and instability of adaptive IIR Filters used in such applications. Considering these, in this paper a new adaptive recursive RLS-based fast-array IIR Filter for active noise and vibration control applications is proposed. At first an RLS-based adaptive IIR Filter with computational complexity of order O(n^2) is derived, and a sufficient condition for its stability is proposed by applying passivity theorem on the equivalent feedback representation of this adaptive algorithm. In the second step, to reduce the computational complexity of the algorithm to the order of O(n) as well as to improve its numerical stability, a fast array implementation of this adaptive IIR Filter is derived. This is accomplished by extending the existing results of fast-array implementation of adaptive FIR Filters to adaptive IIR Filters. Comparison of the performance of the fast-array algorithm with that of Erikson's FuLMS and SHARF algorithms confirms that the proposed algorithm has faster convergence rate and ability to reach a lower minimum mean square error which is of great importance in active noise and vibration control applications.

Allahyar Montazeri - One of the best experts on this subject based on the ideXlab platform.

  • a new adaptive recursive rls based fast array IIR Filter for active noise and vibration control systems
    Signal Processing, 2011
    Co-Authors: Allahyar Montazeri, Javad Poshtan
    Abstract:

    Infinite impulse response Filters have not been used extensively in active noise and vibration control applications. The problems are mainly due to the multimodal error surface and instability of adaptive IIR Filters used in such applications. Considering these, in this paper a new adaptive recursive RLS-based fast-array IIR Filter for active noise and vibration control applications is proposed. At first an RLS-based adaptive IIR Filter with computational complexity of order O(n^2) is derived, and a sufficient condition for its stability is proposed by applying passivity theorem on the equivalent feedback representation of this adaptive algorithm. In the second step, to reduce the computational complexity of the algorithm to the order of O(n) as well as to improve its numerical stability, a fast array implementation of this adaptive IIR Filter is derived. This is accomplished by extending the existing results of fast-array implementation of adaptive FIR Filters to adaptive IIR Filters. Comparison of the performance of the fast-array algorithm with that of Erikson's FuLMS and SHARF algorithms confirms that the proposed algorithm has faster convergence rate and ability to reach a lower minimum mean square error which is of great importance in active noise and vibration control applications.

  • a new adaptive recursive rls based fast array IIR Filter for active noise and vibration control systems
    Signal Processing, 2011
    Co-Authors: Allahyar Montazeri, Javad Poshtan
    Abstract:

    Infinite impulse response Filters have not been used extensively in active noise and vibration control applications. The problems are mainly due to the multimodal error surface and instability of adaptive IIR Filters used in such applications. Considering these, in this paper a new adaptive recursive RLS-based fast-array IIR Filter for active noise and vibration control applications is proposed. At first an RLS-based adaptive IIR Filter with computational complexity of order O(n^2) is derived, and a sufficient condition for its stability is proposed by applying passivity theorem on the equivalent feedback representation of this adaptive algorithm. In the second step, to reduce the computational complexity of the algorithm to the order of O(n) as well as to improve its numerical stability, a fast array implementation of this adaptive IIR Filter is derived. This is accomplished by extending the existing results of fast-array implementation of adaptive FIR Filters to adaptive IIR Filters. Comparison of the performance of the fast-array algorithm with that of Erikson's FuLMS and SHARF algorithms confirms that the proposed algorithm has faster convergence rate and ability to reach a lower minimum mean square error which is of great importance in active noise and vibration control applications.

Y Tsividis - One of the best experts on this subject based on the ideXlab platform.

  • a continuous time digital IIR Filter with signal derived timing and fully agile power consumption
    IEEE Journal of Solid-state Circuits, 2018
    Co-Authors: Yu Chen, Xiaoyang Zhang, Yong Lian, Rajit Manohar, Y Tsividis
    Abstract:

    Presented is the first continuous-time (CT) digital infinite impulse response (IIR) Filter working on signal-derived timing in lieu of a clock. We introduce a novel design method which enables the design of high-order IIR Filters using only two tap delays. An event-grouping technique is also introduced to prevent parasitic oscillations in the presence of tap delay mismatches. The 1.2-V, 65-nm CMOS prototype implements a sixth-order IIR Filter, with a maximum input rate of 20 Msample/s and a stop-band rejection of more than 80 dB. Without using any power-down circuitry, the chip’s power consumption tracks the input activity in a fully agile manner, and varies by more than $50\times $ , from 0.04 to 2.32 mW. The Filter achieves an figure of merit (FoM) which competes with that of discrete-time (DT) Filters, while avoiding the use of a clock and an antialiasing Filter. Compared to prior art in CT digital signal processings, the prototype achieves 45-dB improvement in stop-band rejection and 9 $\times $ smaller delay line area. For the first time, the Filtered CT digital signal is converted to synchronous mode at the end of signal chain, allowing integration with DT digital systems.

  • a continuous time digital IIR Filter with signal derived timing agile power dissipation and synchronous output
    Symposium on VLSI Circuits, 2017
    Co-Authors: Yu Chen, Xiaoyang Zhang, Yong Lian, Rajit Manohar, Y Tsividis
    Abstract:

    We present the first continuous-time digital IIR Filter with power consumption tracking the input activity and varying by over 50×, resulting in a FoM varying from 2.5iJ to 0.05IJ. Only two tapped delays are used for a sixth-order Filter. The 1.2 V 65nm CMOS prototype achieves very high stopband rejection and includes an output converter to synchronous mode, allowing integration with discrete-time systems.

T Q Nguyen - One of the best experts on this subject based on the ideXlab platform.

  • frequency selective kyp lemma IIR Filter and Filter bank design
    IEEE Transactions on Signal Processing, 2009
    Co-Authors: Hung Gia Hoang, H D Tuan, T Q Nguyen
    Abstract:

    For a transfer function F(ejomega) of order n , Kalman-Yakubovich-Popov (KYP) lemma characterizes a general intractable semi-infinite programming (SIP) condition by a tractable semidefinite programming (SDP) for the entire frequency range. Some recent results generalize this lemma for a certain frequency interval. All these SDP characterizations are given at the expense of the introduced Lyapunov matrix variable of dimension ntimesn. Consequently, formulation and design of high dimensional problem is challenging. Moreover, existing SDP characterizations for frequency-selective SIP (FS-SIP) do not allow to formulate synthesis problems as SDPs. In this paper, we propose a completely new SDP characterization of general FS-SIP involving SDPs of moderate size and free from Lyapunov variables. Furthermore, a systematic IIR Filter and Filter bank design is developed in a similar vein, with several simulations provided to validate the effectiveness of our SDP formulation.

  • low order IIR Filter bank design
    IEEE Transactions on Circuits and Systems, 2005
    Co-Authors: H D Tuan, T T Son, Pierre Apkarian, T Q Nguyen
    Abstract:

    The advantage of infinite-impulse response (IIR) Filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR Filter bank design theory, there is no satisfactory methodology for IIR Filter bank design. The well-known IIR Filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR Filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR Filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror Filter bank design, although other IIR Filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation.

Yu Chen - One of the best experts on this subject based on the ideXlab platform.

  • a continuous time digital IIR Filter with signal derived timing and fully agile power consumption
    IEEE Journal of Solid-state Circuits, 2018
    Co-Authors: Yu Chen, Xiaoyang Zhang, Yong Lian, Rajit Manohar, Y Tsividis
    Abstract:

    Presented is the first continuous-time (CT) digital infinite impulse response (IIR) Filter working on signal-derived timing in lieu of a clock. We introduce a novel design method which enables the design of high-order IIR Filters using only two tap delays. An event-grouping technique is also introduced to prevent parasitic oscillations in the presence of tap delay mismatches. The 1.2-V, 65-nm CMOS prototype implements a sixth-order IIR Filter, with a maximum input rate of 20 Msample/s and a stop-band rejection of more than 80 dB. Without using any power-down circuitry, the chip’s power consumption tracks the input activity in a fully agile manner, and varies by more than $50\times $ , from 0.04 to 2.32 mW. The Filter achieves an figure of merit (FoM) which competes with that of discrete-time (DT) Filters, while avoiding the use of a clock and an antialiasing Filter. Compared to prior art in CT digital signal processings, the prototype achieves 45-dB improvement in stop-band rejection and 9 $\times $ smaller delay line area. For the first time, the Filtered CT digital signal is converted to synchronous mode at the end of signal chain, allowing integration with DT digital systems.

  • a continuous time digital IIR Filter with signal derived timing agile power dissipation and synchronous output
    Symposium on VLSI Circuits, 2017
    Co-Authors: Yu Chen, Xiaoyang Zhang, Yong Lian, Rajit Manohar, Y Tsividis
    Abstract:

    We present the first continuous-time digital IIR Filter with power consumption tracking the input activity and varying by over 50×, resulting in a FoM varying from 2.5iJ to 0.05IJ. Only two tapped delays are used for a sixth-order Filter. The 1.2 V 65nm CMOS prototype achieves very high stopband rejection and includes an output converter to synchronous mode, allowing integration with discrete-time systems.