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

Nyquist Filters with Alternative Balance between Time- and Frequency-Domain Parameters

“…Other techniques for designing the pulse shaping filters that have been reported are based on optimization techniques with a specific objective function such as maximizing the robustness against timing jitter [2,3,[8][9][10] minimizing the duration of the impulse response [11][12][13] or minimizing the peak to average power ratio (PAPR) at the transmitter filter output [14]. Besides the complex way of calculating 2 EURASIP Journal on Advances in Signal Processing the filter coefficients, filters that are obtained by optimization techniques are usually of nonlinear phase [11,12] or they cannot be directly partitioned into matched filter pairs [2,3,[8][9][10][15][16][17] having linear phase characteristic. The same holds true for the IIR Nyquist filters as discussed in [17,18].…”

A Design Method of Hybrid Analog/Asymmetrical-FIR Pulse-Shaping Filters with an Eye-Opening Control Option against Receiver Timing Jitter

“…This receiver timing jitter will deteriorate the BER performance if the opening of the eye pattern is not sufficiently large. In [10]- [12], three different methods to design asymmetrical FIR SR filters with wide eye opening were proposed. With Channel opening and stopband attenuation specifications, the length of the Nyquist filter of [10] is longer than that of [11] because the method in [10] employs the equiripple constraint in both the passband and the stopband, whereas the method in [11] only constrains the stopband gain.…”

“…With Channel opening and stopband attenuation specifications, the length of the Nyquist filter of [10] is longer than that of [11] because the method in [10] employs the equiripple constraint in both the passband and the stopband, whereas the method in [11] only constrains the stopband gain. The method in [12] constrains the tail samples of the Nyquist filter's impulse response as well as the peak ripple error in the frequency domain. This results in a tradeoff between them.…”

“…This results in a tradeoff between them. The example given in [12] shows that the filter, designed by the method in [12], which has good eye opening has difficulty in achieving low stopband gain.…”

“…These analog components will definitely affect the system performance. However, the design methods mentioned in [2]- [12] do not compensate for the nonlinear phase response. Thus, the overall system performance will be not as good as we might expect.…”