System 1 is a "Modulator" that multiplies an incoming signal x₁(t) by cos(6лt); so that its output is y₁(t) = x₁(t) cos(бnt). [This does NOT mean that the impulse response of System 1 is cos(6nt)!] System 2 is an ideal Low-Pass Filter with a cutoff frequency of 3 Hz. These two systems are connected in cascade (in series), with System 1 coming before System 2. x(t) System 1 201½ System 2 — y(t) The input signal applied to System 1 has a Fourier Transform spectrum of X(f) = 0.5tri(f/4) = 0.5- |f|/4, for -2

To filter out some noise and undesirable stray signals, a passive band-pass filter was utilised. When the low cut-off frequency is 70 and the high cut-off frequency is 7, draw the bandpass filter circuit and solve for all R and C values.

Which of the following statement is true for the figure shown below. O LTI system RC low-pass filter - labAlive O RC low-pass fiter- Properties File Run Simulation Help Cutoff frequency > 320 MHz V O Signal Generator - Properties Amplitude Frequency < Output 1.73 H ic) 45.0 MHz On Waveform Sine The voltage at the output is higher compared to the initial voltage at the input O b. The output voltage cannot be determine since the input frequency is too high compare to cutoff frequency O. The voltage at the output is lower compared to the initial voltage at the input O d. The voltage at the output is equal to the initial voltage at the input

A low-pass filter is often used in a circuit to block high frequency noise. Explain how this works.