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Classify the following signal as energy signal or power signal. Find the

normalized energy or normalized power.

(i) sin 2t + 3 cos 4t

Design a digital low-pass Butterworth filter on A4 sheet to satisfy the following

constraints:

X dB ripple in passband 0 ≤ ω ≤ 0.3π

Y dB attenuation in stopband 0.5π ≤ ω ≤ π

Use Bilinear Transformation assuming T = 1 sec.

Design a Chebyshev Type-1 digital low-pass filter on A4 sheet to satisfy the following

constraints:

X dB ripple in passband 0 ≤ ω ≤ 0.2π

Y dB attenuation in stopband 0.45π ≤ ω ≤ π

Use Bilinear Transformation assuming T = 1 sec.

Design a low-pass digital Butterworth filter on A4 sheet using Bilinear Transformation

method for satisfying the following constraints:

Passband: 0 – X Hz Stopband: 2.0 – 4 kHz Passband Ripple: Y dB

Stopband attenuation: 30 dB Sampling frequency: 10 kHz

Draw the circuit and write a program for Arduino IDE to monitor the fire in a forest and if detects

then water sprinkler should be on.

Consider an electric field E = aR 5 R2 + aθ 12 Sin ϕ. Verify the respective null identity.

. Repeat the procedure learned in lab to demonstrate a code using MATLAB which compute & Express graphically the following for a graph given below

a)     x(t)

b)     x(t+1)

c)     x(t-1)

d)     x(1.5t)

e)     x(1.5t+1)

Consider you are a research engineer who is assigned to cut the hardware cost of the circuits by reducing the gate count. For this you have to find multiple options through which you can do it. A junior engineer designed a circuit for solving a problem whose end statement is

You have the following options:

1. Use multiple AND gates and one multi input OR gate

2. Use multiple OR gates with one multi input AND gate.

Implement both of these scenarios and discuss with reasons which one would be lesser in

During your current job your boss has asked you to re-implement the circuit that someone designed and implemented two years back on hardware.

1.

2.

The following are requirements:

1. The number of gates in the circuit should be minimum possible.

2. Only one type of gate can be used.

Implement the above circuit by choosing the optimum gate and state reasons for your choice.

Z1 and Z2 are first connected in series then in parallel Express the combined impendances in each casein form of x +jy ; if Z1 = 4-j3 and Z2= 5+j2

-2xydy+(x²+y²)dx=0

Solve by integrating factor

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