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.

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