Design and hybrid realization of FIR Nyquist filters with quantized coefficients and low sensitivity to timing jitter

A design of finite impulse response (FIR) Nyquist filters with zero intersymbol interference (ISI) and low sensitivity to timing jitter is presented. Using an affine scaling linear programming algorithm, a near-optimum quantized coefficient set can be obtained in a feasible computational time. By varying a parameter, the design provides a tradeoff between the tail energy of the impulse response in the time domain and the stopband of the magnitude response in the frequency domain. We also present a pipelined multiplier-free FIR filter realization with periodically time-varying (PTV) coefficients based on a hybrid form. The realizations exploit the coefficient symmetry to reduce the hardware by about one half. By placing most of the shifts followed by addition toward the back end of the structure, hardware is reduced due to the shorter wordlength of the adders. The proposed structure has a provision to increase the speed by adjusting a design parameter but at the expense of more hardware.