Signals&Systmes Home Work1

Which mathematical notation specifies the condition of periodicity for a continuous time signal?

• x(t) = x(t +T₀)

• x(n) = x(n+ N)

• x(t) = e^-αt

• None of the above

Which property of delta function indicates the equality between the area under the product of function with shifted impulse and the value of function located at unit impulse instant?

• Replication

• Sampling

• Scaling

• Product

Damped sinusoids are _____

• sinusoid signals multiplied by growing exponentials

• sinusoid signals divided by growing exponentials

• sinusoid signals multiplied by decaying exponentials

• .sinusoid signals divided by decaying exponentials

Which of the following signals are monotonic in nature?

• 1-exp(-t)

• 1-exp(sin(t))

• log(tan(t))

• cos(t)

What is the period of the following signal, x(t) = sin(18*pi*t + 78 deg)?

• ¹⁄₉

• ²⁄₉

• ¹⁄₃

• ⁴⁄₉

For the signal, x(t) = log(cos(a*pi*t+d)) for a = 50 Hz, what is the time period of the signal, if periodic?

• 0.16s

• 0.08s

  
  

• 0.12s

• 0.04s

A signal is a physical quantity which does not vary with ____________

• Time

• Space

• Independent Variables

• Dependent Variables

Most of the signals found in nature are _________

• Continuous-time and discrete-time

• Continuous-time and digital

• Digital and Analog

• Analog and Continuous-time

Which one of the following is not a characteristic of a deterministic signal?

• Exhibits no uncertainty

• Instantaneous value can be accurately predicted

• Exhibits uncertainty

• Can be represented by a mathematical equation

Determine the Time period of: x(t)=3 cos⁡(20t+5)+sin⁡(8t-3).

• 1/10 sec

• 1/20 sec

• 2/5 sec

• 2/4 sec