Question

An input noise process n;(t) having a PSD that is constant between 200 and 700 rad/s (the power density is 10-W/Hz in the passband 200 to 700 rad/s) is the input to a lowpass filter whose bandwidth is 500 rad/sec and gain is 1. Do not forget that the spectrum and the frequency response are symmetrical between-co and +00. Sketch the PSD of noſt), the noise process at the output of the lowpass filter. Show all relevant details

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Answer 1

# Solution → An input naise process hitty having a PS that is constant between 200 and 700 rad[sec (the power density is 10% Wita in the passband 2008 700 rad/sec ) is the input to a dowpaos filter whose Bandwidth 500 radlocc and gainy We arts - 2 2 Input Nolse proceso nect) -NPSD spectrum 106 t (Hz) -700/22 -200/22 200727 700/at Noise spectrum like as Band pass filter. Band Pass tellten with autott frequency went were The signal exist only was lule was nit LPF. holt gain L cs Scandal frequency domain no (do) = Hepf (6). hilb) CamScanner

Low Pass filter spectrum He point Low pass filter (Hz) - 500 500/ Nilly ASD <input noise Process hilt 166 & CH2) -700/ -209/ 200/24 700/27 Nolt) output noise Grocess noit) 6 116 -500gr -200/25 २००/- 500/27 & (Hz) The output noise process now having PSD that is constant between 200 and 500 rad/sec. (the power density is 106 Willz in the pasobana Soo Jo Joo Jigdec ). CS Scanned with CamScanner TURIST