If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?
A. Hlp(ω-π/2)
B. Hlp(ω+π/2)
C. Hlp(ω-π)
D. Hlp(ω+π)
Answer:A
If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?
A. Hlp(ω-π/2) B. Hlp(ω+π/2) C. Hlp(ω-π) D. Hlp(ω+π)
Explanation: The impulse response of a high pass filter is simply obtained from the impulse response of the low pass filter by changing the signs of the odd numbered samples in hlp(n). Thus