WorksheetsSignal Representations and Mathematica Operationsl
Total questions: 10
Worksheet time: 5mins
The unit step function u(t) has a value of 1 when:
t<0
t=0
t>0
All of the above
The mathematical expression for a shifted unit step function that turns on at t=a is:
u(t+a)
u(t−a)
u(a−t)
u(t)×a
For a rectangular pulse that starts at t=a and ends at t=b, the correct expression is:
u(t−a)+u(t−b)
u(t+a)−u(t+b)
u(t−a)−u(t−b)
u(t)−u(t−a)
The general form of a sinusoidal signal is:
A cos (ωt+ϕ)
At sin (ω+ϕ)
Aejt
A/(ωt)
In engineering, the step function is used to represent:
A continuous process
Voltage or current switched on at a specific time
A random signal
A sinusoidal wave
A ramp signal represents:
A signal increasing linearly with time
A signal decreasing exponentially
A constant pulse
A periodic signal
The exponential function eat represents:
A sinusoidal wave
Exponential growth or decay
A step signal
An impulse
The impulse function δ(t) has which of the following properties?
Zero everywhere except at t=0
Infinite at t=0
Total area = 1
All of the above
The SI unit of frequency is:
Hertz (Hz)
Joule (J)
Watt (W)
Volt (V)
The operation used to combine two signals X1(t) and X2(t) is:
X(t)=X1(t)−X2(t)
X(t)=X1(t)+X2(t)
X(t)=X1(t)×X2(t)
X(t)=∫X1(t)dt
