Peak-Contrained WLS Strategy for FIR Digital Filter Design
Hon Keung Kwan, Aimin Jiang
Abstract
Hon Keung Kwan, Aimin Jiang
Abstract
In this paper, a peak-constrained weighted least-squares (PCWLS) method is presented for designing a general FIR digital filter with constant group delay passband, using the projected least-squares (PLS) algorithm. In the design of a general FIR filter, peak error constraints are nonlinear functions of filter coefficients and can not be accepted by the PLS algorithm. In the proposed method, peak error constraints are formulated, through some approximation, as a set of linear inequalities to be incorporated into the design problem. Design examples show the effectiveness of the peak error control of the proposed method.
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In this paper, a peak-constrained weighted least-squares (PCWLS) method is presented for designing a general FIR digital filter with constant group delay passband, using the projected least-squares (PLS) algorithm. In the design of a general FIR filter, peak error constraints are nonlinear functions of filter coefficients and can not be accepted by the PLS algorithm. In the proposed method, peak error constraints are formulated, through some approximation, as a set of linear inequalities to be incorporated into the design problem. Design examples show the effectiveness of the peak error control of the proposed method.
Key concepts: Passband, Filter (signal processing), Filter design, Finite impulse response, Digital filter, Set (abstract data type), Mathematics, Control theory (sociology)