Electronics Engineering · Signal Processing
Consider the sinusoidal signal x(t) = cos(ωst/2 + φ). Suppose this signal is sampled at a frequency of ωs. If this impulse-sampled signal is applied as the input to an ideal lowpass filter with a cutoff frequency of ωs/2, the resulting output is:
- 1xr(t) = (cos φ) sin(ωst/2)
- 2xr(t) = (sin φ) sin(ωst/2)
- 3xr(t) = (sin φ) cos(ωst/2)
- 4xr(t) = (cos φ) cos(ωst/2)✓
Correct answer
xr(t) = (cos φ) cos(ωst/2)
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