= 2. The frequency response of a low pass filter (LPF) is given as Hypf(ejW) = u(w + wc) – uw - wc) where wc >|w| is the

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2 The Frequency Response Of A Low Pass Filter Lpf Is Given As Hypf Ejw U W Wc Uw Wc Where Wc W Is The 1 (73.48 KiB) Viewed 102 times

= 2. The frequency response of a low pass filter (LPF) is given as Hypf(ejW) = u(w + wc) – uw - wc) where wc >|w| is the cutoff frequency, and u(w) is the unit step function. Note that this frequency response is defined within <St, but it is a periodic function of the frequency w with period 27. The impulse response of the filter can be calculated by using the synthesis formula (the inverse Fourier Transform). a) Determine and sketch the impulse response (IR) of the low pass filter (LPF). b) The frequency response of a linear phase high pass filter (HPF) can be written in term of the LPF's frequency response as Hupf(ejw) = exp(-jwN)[1 – Hupf(ejm)] with wc <\w\<t. Determine the impulse response of the HPF. =