The system in Figure P10.26-1 uses a modulated filter bank for spectral analysis. (For f...

The system in Figure P10.26-1 uses a modulated filter bank for spectral analysis. (For further illustration, Figure P10.26-2 shows how the frequency responses H_k(e^jω) relate.) The impulse response of the prototype filter h₀[n] is sketched in Figure P10.26-3.

An alternative system for spectral analysis is shown in Figure P10.26-4. Determine w[n] so that G[k] = v_k[0], for k = 0, 1, ..., N − 1.