Introduction to signals - Continuous and Discrete Time Signals and Systems - page 58

Fig. P1.25. Waveform for
Problem 1.25.

f ( t )

2

t t

−4 −3 −2 −1

0 123 45

−3

Fig. P1.26. Waveform for
Problem 1.26.

f ( t )

1

t t

−6 −5 −4 −3 −2 −1

0 1 2

−3

Fig. P1.27. Waveform for
Problem 1.27.

f ( t )

2

t t

−4 −3 −2 −1 0 123

1.25 Consider the function f ( t ) shown in Fig. P1.25.
(i) Sketch the function g ( t ) = f ( − 3 t + 9).
(ii) Calculate the energy and power of the signal f ( t ). Is it a power signal
or an energy signal?
(iii) Repeat (ii) for g ( t ).

1.26 Consider the function f ( t ) shown in Fig. P1.26.
(i) Sketch the function g ( t ) = f ( − 2 t + 6).
(ii) Represent the function f ( t ) as a summation of an even and an odd
signal. Sketch the even and odd parts.

1.27 Consider the function f ( t ) shown in Fig. P1.27.
(i) Sketch the function g ( t ) = tf ( t + 2) − tf ( t − 2).
(ii) Sketch the function g (2 t ).

1.28 Consider the two DT signals

x 1 [ k ] = k ( u [ k + 4] − u [ k − 4])

and

x 2 [ k ] = k ( u [ k + 5] − u [ k − 5]) .