PSWK - 7 Deret Fourier

When is the gibbs phenomenon present in a signal x(t)?

• Only when there is a discontinuity in the signal

• Only when the signal is discrete

• Only when there is a jump discontinuity in the signal

• Gibbs phenomenon is not possible in continuous signals

Where does the gibbs phenomenon occur?

• Gibbs phenomenon occurs near points of discontinuity

• Gibbs phenomenon occurs only near points of discontinuity

• Gibbs phenomenon occurs only ahead of points of discontinuity

• Gibbs phenomenon does not occur near points of discontinuity

What causes the gibbs phenomenon?

• Abruptly terminating the signals

• Abruptly integrating the signals

• x(t) should be continuous only

• Signal should be discontinuous

When is fourier convergence theorem applicable?

• Infinite series limit

• Continuous function limit

• Discrete function limit

• Break point limits

What are the properties of continuous time fourier series?

• Linearity, time shifting

• Linearity, time shifting, frequency shifting

• Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution

• Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution, multiplication, differentiation

What is the frequency shifting property of continuous time fourier series?

• Multiplication in the time domain by a real sinusoid

• Multiplication in the time domain by a complex sinusoid

• Multiplication in the time domain by a sinusoid

• Addition in the time domain by a complex sinusoid

Why does the signal change while time scaling?

• Because the frequency changes

• Time changes

• Length changes

• Both frequency and time changes

What is the outcome of a periodic convolution of signals in case of continuous time fourier series?

• Division in frequency domain

• Multiplication in frequency domain

• Convolution is easier

• Addition of signals in frequency domain

What is the multiplication property of continuous time fourier series?

• Convolution of the signals

• Multiplication of the elements of the signal

• Division of the frequency domain

• Addition of the signals in frequency domain

If the signal x(t) is even, what will be the fourier series coefficients?

• Real and even

• Odd

• Real only

• Imaginary and odd