Math Problem Solver

From the input signal x1(t)

and the impulse reponse h1(t)

the convolution product

y1(t)=x1(t)∗h1(t)

is computed. The Fourier transform of the time domain signal y1(t)

is denoted by

Y1(jω)=|Y1(jω)|ejφ1(jω),

where |Y1(jω)|

is the magnitude and φ1(jω)

is the phase.

In order to determine the magnitude and the phase the following plot of y1(t)

shall be used.

Note: The time signal consists of real part (—) and imaginary part (- - -).

Question: Complete the following statements about magnitude and phase of the Fourier transform of y1(t)

!

The waveform of the magnitude is

-- please select --

with a maximum value of

.

The waveform of the phase is

-- please select --

.

Give the constant value of the phase or the slope of the phase:

.