Write a table equivalent to Table 5.1 supposing that the ideal impulse responses have an added phase term of \(-(M / 2) \omega\), for \(M\) odd.

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Table 5.1. Ideal frequency characteristics and corresponding impulse responses for lowpass, highpass, bandpass, and bandstop filters, as well as for differentiators and Hilbert transformers. Filter type Magnitude response |H (ej)| Impulse response h(n) 1, for 0 We for n = 0 Lowpass 10, for all I sin(en), for n 0 In We Jo, Highpass for 0 <