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?

Q_. A simple comparator and a Schmitt trigger are shown in Figures 2(a) and _(b). The maximum output voltage, Vmax, can switch between -10 V and ! 10 V for both circuits. The lower and upper trigger levels of the Schmitt trigger are -1 V and 12 V, respectively. a) b) Based on the information given above, sketch the transfer characteristics for both circuits. +2V Show that the hysteresis of the Schmitt trigger of Figure 2(b) can be expressed as c) Using the parameters provided above, determine the ratio of R₂/R₁ for the circuit of Figure 2(b). 1₂ Vhys = Figure 2(a) 2.R₁-Vmax R₁ + R₂ V₂ KŲ +0.6V R₂ Figure 2(b) Tºv.

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

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.

4. If Vcc = 20 V, Rc is 440, R1 is 1500, R2 is 800, R3 is 6500, Re is 1000 and beta is 175; determine the cutoff and saturation values for an amplified signal, whose original value is 250 mV. Consider the minimization of the effects of r for the circuit Vcc www R3 ww www R₁ R₂ www Rc RE

According to the maximum power transfer rule, it must be in order to draw maximum energy..............     from the circuit.What should come in yhe blank? Please choose one: a. is equal to the output resistance of the circuit and the input resistance of the receiver circuit. B. The input resistance of the ob circuit is small c. The output resistance of the circuit is greater than the input resistance of the receiver circuit D. The output resistance of the Od circuit is less than the inputE. e is the largest starting resistance of the circuit