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By observing both the change in amplitude and change in slope, we get x t as following: Load more. A g1 t is a power signal, g2 t is an energy signal. For x1 t: Download pdf.

We shall appreciate and greatly acknowledge the comments, criticism and suggestion from the users of this book which leads to some improvement. Wish you all the success in conquering GATE.

Questions are graded in the order of complexity from basic to advanced level. The graphical representation of a signal in the time domain is known as A frequency B waveform C frequency spectrum D none of the above.

A continuous-time signal is a signal in which the independent variable is A discrete B continuous C A or B D none of the above. Digital signals are those signal which A do not have a continuous set of values B have values at discrete instants C can utilize decimal or binary system D are all of the above. A deterministic signal is the signal which A can not be represented by a mathematical expression B has no uncertainty C has uncertainty D none of the above.

A random signal is the signal which A has uncertainty C is a completely specified function of time. Speech signals and the sine wave respectively are the example of A deterministic signal, random signal. B both random signals C both deterministic signals D random signal, deterministic signals. Which of the following is a periodic signal? Sine waves, cosine waves, square waves and triangular waves are the examples of A non-deterministic functions B multiple frequency functions C periodic functions D all of the above.

Which of the following statements is not true? The product of two even signals in an even signal 2.

The product of two odd signals in an odd signal. The product of even and odd signals in an even signal. The product of even and odd signal is an odd signal. Signal e2t u t is A a power signal B an energy signal C neither an energy signal nor a power signal D none of the above.

Which of the following is an energy signal? Which of the following statement are true? Most of the periodic signals are energy signals.

Most of the periodic signals are power signals. For energy signals, the power is zero. For power signals, the energy is zero. For unit impulse function t , which of the following relation holds true?

If x t is a continuous time signal and t is a unit impulse signal then value of integral A x t C t. A weighted impulse function at has A unit area and unit amplitude C finite area and infinite amplitude.

Unit step signal u t is A an energy signal B a power signal C neither power signal nor energy signal D both. List I Signal P.

Unit Impulse signal 1. Unit Step signal R. Random noise signal S. Decaying exponential Codes: The differentiation of a unit step signal is, A an impulse signal B a ramp signal C an exponential signal D a parabolic signal.

Signals List II Period of the signal 1. Which of the following signal is not periodic? A sin 10t B 2 cos 5t C sin 10t u t D none of these. The odd part of g t is 0, elsewhere. If xe t and xo t are the even and odd part of a signal x t , then which of the following is true? Statement For Q. Which of the following statement is true? A g1 t is a power signal, g2 t is an energy signal. B g1 t is an energy signal, g2 t is a power signal.

C Both g1 t and g2 t are power signals. D Both g1 t and g2 t are energy signals. A W, A signal x t , defined over the range 3 t 3 , has energy equal to 12 units. Which of the following relation is true? Which of the following is the correct expression of f t? Time compression of a signal A Reduces its energy B increases its energy C does not effect the energy D none of above.

Which of the following is correct statement? A y t is amplitude scaled version of x t B y t is time scaled version of x t by a factor of 2. C y t is time advanced version of x t by 2 units. D y t is time delayed version of x t by 2 units.

If the energy of a signal x t is Ex then what will be the energy for a signal x at b? A signal x t and its transformed signal y t are shown in figure A and figure B respectively.

Which of the following procedure is correct to obtain x2 t from x1 t? A First compress x1 t by a factor of 3, then shift to the right by 6 time units. B First expand x1 t by a factor of 6, then shift to the right by 3 time units. C First compress x1 t by a factor of 3, then shift to the right by 2 time units. D First shift x1 t to the right by 2 time units then expand by a factor of 3. If t is an unit impulse function, then the value of integral equals to A 1 2 C 1 2e B 1 e D 1.

For an unit impulse function t , which of the following is true? Which of the above signals have finite energy? The signal f 3 t can be expressed as A x t 0. The signal f 4 t can be expressed as A 1. The sketch of y t is.

Statement for Q. The signal x t is represented as. Consider the triangular pulses and the triangular wave of figure.

Which one of the following statements is correct? A Both x1 t and x2 t are periodic B x1 t is periodic but x2 t is not periodic C x2 t is periodic but x1 t is not periodic D Neither x1 t nor x2 t is periodic. Which one of the following function is a periodic one? A signal x1 t and x2 t constitute the real and imaginary parts respectively of a complex valued signal x t.

What form of waveform does x t possess? C an energy as well as a power signal D neither an energy nor a power signal MCQ 1. Which one of the following is the mathematical representation for the average power of the signal x t? Which one of the following is correct? Energy of a power signal is A finite C infinite B zero D between 1 and 2.

Which of the following is true? A A finite signal is always bounded B A bounded signal always possesses finite energy C A bounded signal is always zero outside the interval [ t0, t0] for some t0 D A bounded signal is always finite.

A 0 for all integer values of n B 2 for all integer values of n C 1 for all integer values of n D 1 for all integer values of n.

Double integration of a unit step function would lead to A an impulse C a ramp B a parabola D a doublet. The function x t is shown in the figure. Even and odd parts of a unit step function u t are respectively,. The impulse train shown in the figure represents the second derivative of a function f t. The value of f t is. Which one of the following gives the correct description of the waveform shown in the above diagram?

Match the waveforms on the left-hand side with the correct mathematical description listed on the right hand side. Option A is correct. Option D is correct. Period of sin 4t ,. For x2 t: Now SOL 1. Option B is correct.

All the given signals are periodic. Option C is correct. Thus the complete odd part is in option B. Thus the complete even part is as shown above.

SOL 1. Since g1 t has finite energy, it is an energy signal. The signal g2 t has finite power, so it is a power signal. Alternate Method: We know that most periodic signals are usually power signals and most non-periodic signals are considered to be energy signals.

The signal is unbounded, therefore it is not an energy signal. Since x t has finite power and infinite energy, therefore it is a power signal. Energy of x t 4 is same as x t. Signal x t is bounded, so it is has some finite energy. Shift g t to the right by one time unit to obtain g t 1 as shown below:. The signal g t and its expanded signal by factor of 2 and 3 is shown below:. The signal is advanced by 2 time units. The signal y t is the time delayed version of x t i. The time delayed signal g t 2 can be obtained by shifting g t to the right by 2 time units.

The sequence of transformation is f t t " t time revenal. As given in methodology of section 1. First we obtain time reversal signal f t by taking mirror image of f t along the vertical axis. Then by shifting f t to the left by 3 units we get f t 3. So x2 t , can be obtained by compressing x1 t by a factor of 3 and then delaying by 2 time units. This is not given in any of the four options. If we change sequence of transformation by first doing scaling then shifting we get x t t " 0. I don't know what to say except that I have enjoyed reading.

Nice blog. I will keep visiting this blog very often. This book is more than enough for practice. As far as practice is concern this book is 10 times better than any coaching material. Coaching always make u dependent on them, but a book always make self dependent. Some student biased from coaching teacher may say that book has error. But book has no single solution error.

However their were some typographical mistake in 3 volume edition that also were eliminated from 5 volume edition.

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