Bissoy.com
Doctors Medicines MCQs Q&A

A complex exponential signal is a decaying exponential signal when

A complex exponential signal is a decaying exponential signal when Correct Answer Ω = 0 and σ < 0

Let x(t) be the complex exponential signal ⇒ x(t) = est = e(σ+jΩ)t = eσt ejΩt Now, when Ω = 0 ⇒ x(t) = eσt which will be an exponentially decaying signal if σ < 0.

Related Questions

What is the condition for a signal x(n)=Brn where r=eαT to be called as an decaying exponential signal?
The magnitude and phase of the complex Fourier series coefficient ak of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
Signal Processing mcq question image
A point z has been plotted in the complex plane, as shown in figure below.
Complex Variable mcq question image
The plot for point $$\frac{1}{{\text{z}}}$$ is
Consider the following statements related to stability of the control system : 1. Poles in right half-plane (rhp) yield pure exponential decaying natural response. 2. If poles of multiplicity greater than one are present on the imaginary axis, then the system is marginally stable, 3. If one pole is present in right-half plane, the system is unstable. 4. A system is stable if the natural response approaches zero as time approaches  infinity. Which of the above statements is/are not correct ?  
Consider the following statements regarding modulation : 1. The communication systems, where a weak signal is transmitted by the use of a modulation is essential in carrier signal. 2. When the frequency of the high frequency signal is varied in accordance with the intensity of the low-frequency weak signal, the modulation is said to be frequency modulation. 3. The process of recovering original baseband signal from the modulated signal is called phase modulation. Which of the above statements are correct ? 
In the question given below, four sentences are given which may or may not be grammatically correct. From the given options, choose the grammatically correct sentence. A. Literature often portrayed children as one-dimensional, but children are as complex as adults. B. Literature often portrays children as one-dimensional, but children are as complex as adults. C. Literature often portrays children as one-dimensional, but children are so complex as adults. D. Literature often portrays children as one-dimensional, but children are more complex as adults. 
Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
1. The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued.
2. The complex Fourier series coefficients of x(3f) are {3ak} where k is integer valued.
3. The fundamental angular frequency of x(3t) is 6π rad/s.
For the three statements above, which one of the following is correct?
Planck’s law is given by – 2 b) (E) b = π c 2 h – 3]. c) (E) b = 2 π c 2 h (Wavelength) -5/exponential – 1 d) (E) b = 2 c 2 h (Wavelength) -5/exponential – 6
In an opencast mine, dumpers arrive at a shovel location with an average arrival rate of 12 per/hour. The inter-arrival times of the dumpers follow an exponential distribution. The service times of the shovel also follow an exponential distribution with an average of 3 minute. The average waiting time of a dumper in the queue in minutes is
When is a complex exponential signal pure DC?