1.4 (a) Show that the fundamental period Np of the signals Sk(n) = ei2xkn/N k = 0, 1, 2,.. is given by N,N/GCD(k, N), where GCD is the greatest common divisor of k and N. (b) What is the fundamental period of this set for N = 7? (c) What is it for N = 16?

Q1. Clearly draw the small signal low-frequency model (with the Hybrid-π) and derive an equation for the break frequency (Hint: Find the Thevenin resistance seen by the capacitor

VDD VDD In the circuit on the right, do not assume that the two nFETs are identical. Keep İN all subscripts. a) Carefully draw the high-frequency (Cgs and Cgd) small signal equivalent circuit used for computing iout/iin. Label EVERYTHING! M, M2 Double check this because your answer here will affect part (b). b) Solve for iout/in.

1.- The signal to noise ratio (S/N)dB for 3 different medicines turns out to be: (a) a negative value(b) zero(c) a positive valueWhat can be said about the signal strength and noise power in each case?In all 3 cases can the signal be recovered?

Consider the following sampled signal x[n]. What is the cyclic frequency in the sampled signal if the signal was sampled with a sampling frequency of 40 Hz? x[n] = 1 + 2cos((pi/4)n +(pi/3))

Solve in digital format 1.- Describe in your words the definition of bandwidth.2.- Describe the definition of bandwidth of a system.3.- Describe the definition of bandwidth of a signal4.-What is the function of a filter?

Q1. For the MOSFET circuit below, input is sinusoidal signal of amplitude IV and frequency 50Hz. Find, the DC operating point, Plot the frequency response and Plot the input, output and transfer characteristics and find out the small signal equivalent. Assume an overdrive voltage of 0.2V Use MOSFET 500nm Library file provided. F Vdd=5V -=80 K R1 (1 1.20F

Please, I do not want a theoretical solution or using artificial intelligence. I want a solution on paper using the mathematical laws of the topic

Q₁: ph paper when required. A-The analog signal s(t) = 10 cos (20 pi*t) cos (200 pi*t) is sampled at the rate of 250 samples per seconds. Determine the following: a- The maximum frequency component present in the analog signal. b-Nyquist rate. B- An analog signal having single frequency as 3 kHz is sampled with 5 kHz signal. Describe its frequency spectrum. What will be the output if the sampled signals are passed through a low-pass filter having cutoff frequency at 2.5 kHz?

Please draw the small signal model and show how the equations for Ron and Rop were obtained.