0
we proceed via the FT of the signum function sgn(t) which is defined as:
sgn(t) = 1 for t>0 n -1 for t<0
FT of sgn(t) = 2/jw where w is omega n j is iota(complex)
we actually write unit step function in terms of signum fucntion : n the formula to convert unit step in to signum function is
u(t) = 1/2 ( 1 + sgn(t) )
As we know the FT of sgn(t) we can easily compute FT of u(t).
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What is periodicity of unit step signal?
YES, unit step function is periodic because its power is finite that is 1/2.. and having infinite energy.
Define the unit step function and signum function bring out the relation between these two functions?
u(t)-u(-t)=sgn(t)
What is the unit step signal?
seasning
Explain one method to process an entire string as one unit?
gets()function,we can do this process...
Explain the function of BIU and EU in 8086?
biu stands for bus interface unit and eu stands for execution unit. In 8086 microprocessor BIU fetches the instructions and places in the queue. The Eu executes the fetched instruction and places the result in the registers
What is the laplace transform of a unit step function?
a pulse (dirac's delta).
What are the Laplace transform of unit doublet function?
The Laplace transform of the unit doublet function is 1.
Difference between fourier transform and z-transform?
The Fourier transform is used to analyze signals in the frequency domain, transforming a signal from the time domain to the frequency domain. The z-transform is used in the analysis of discrete-time systems and signals, transforming sequences in the z-domain. While the Fourier transform is typically applied to continuous signals, the z-transform is used with discrete signals represented as sequences.
What is the value of unit step function at t equals 0?
The unit step function at t=0 is defined to have a value of 1.
What is periodicity of unit step signal?
YES, unit step function is periodic because its power is finite that is 1/2.. and having infinite energy.
What is the Matlab code to generate unit step function?
Below code generates unit step function n1=-4; n2=5; n0=0; [y,n]=stepseq(n0,n1,n2); stem(n,y); xlabel('n') ylabel('amplitude'); title('unit step'); It results in a unit step whose value is 1 for time T>0.
Define the unit step function and signum function bring out the relation between these two functions?
u(t)-u(-t)=sgn(t)
What is the Syllabus of engg mathematics for Be?
MA1201 MATHEMATICS III 3 1 0 100 AIM The course aims to develop the skills of the students in the areas of boundary value problems and transform techniques. This will be necessary for their effective studies in a large number of engineering subjects like heat conduction, communication systems, electro-optics and electromagnetic theory. The course will also serve as a prerequisite for post graduate and specialized studies and research. OBJECTIVES At the end of the course the students would • Be capable of mathematically formulating certain practical problems in terms of partial differential equations, solve them and physically interpret the results. • Have gained a well founded knowledge of Fourier series, their different possible forms and the frequently needed practical harmonic analysis that an engineer may have to make from discrete data. • Have obtained capacity to formulate and identify certain boundary value problems encountered in engineering practices, decide on applicability of the Fourier series method of solution, solve them and interpret the results. • Have grasped the concept of expression of a function, under certain conditions, as a double integral leading to identification of transform pair, and specialization on Fourier transform pair, their properties, the possible special cases with attention to their applications. • Have learnt the basics of Z - transform in its applicability to discretely varying functions, gained the skill to formulate certain problems in terms of difference equations and solve them using the Z - transform technique bringing out the elegance of the procedure involved. UNIT I PARTIAL DIFFERENTIAL EQUATIONS 9 + 3 Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions - Solution of standard types of first order partial differential equations - Lagrange's linear equation - Linear partial differential equations of second and higher order with constant coefficients. UNIT II FOURIER SERIES 9 + 3 Dirichlet's conditions - General Fourier series - Odd and even functions - Half range sine series - Half range cosine series - Complex form of Fourier Series - Parseval's identify - Harmonic Analysis. UNIT III BOUNDARY VALUE PROBLEMS 9 + 3 Classification of second order quasi linear partial differential equations - Solutions of one dimensional wave equation - One dimensional heat equation - Steady state solution of two-dimensional heat equation (Insulated edges excluded) - Fourier series solutions in Cartesian coordinates. UNIT IV FOURIER TRANSFORM 9 + 3 Fourier integral theorem (without proof) - Fourier transform pair - Sine and Cosine transforms - Properties - Transforms of simple functions - Convolution theorem - Parseval's identity. UNIT V Z -TRANSFORM AND DIFFERENCE EQUATIONS 9 + 3 Z-transform - Elementary properties - Inverse Z - transform - Convolution theorem -Formation of difference equations - Solution of difference equations using Z - transform. TUTORIAL 15 TOTAL : 60 TEXT BOOKS 1. Grewal, B.S., "Higher Engineering Mathematics", Thirty Sixth Edition, Khanna Publishers, Delhi, 2001. 2. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., "Engineering Mathematics Volume III", S. Chand & Company ltd., New Delhi, 1996. 3. Wylie C. Ray and Barrett Louis, C., "Advanced Engineering Mathematics", Sixth Edition, McGraw-Hill, Inc., New York, 1995. REFERENCES 1. Andrews, L.A., and Shivamoggi B.K., "Integral Transforms for Engineers and Applied Mathematicians", Macmillen , New York ,1988. 2. Narayanan, S., Manicavachagom Pillay, T.K. and Ramaniah, G., "Advanced Mathematics for Engineering Students", Volumes II and III, S. Viswanathan (Printers and Publishers) Pvt. Ltd. Chennai, 2002. 3. Churchill, R.V. and Brown, J.W., "Fourier Series and Boundary Value Problems", Fourth Edition, McGraw-Hill Book Co., Singapore, 1987.
What is the value of d power in watts of a step function?
The unit step function is also known as the Dirac delta function. It can be thought of as a function of the real line (x-axis) which is zero everywhere except at the origin (x=0) where the function is infinite in such a way that it's total integral is 1 - hence the use of the word 'unit'. The function is not a strict function by definition in that any function with the properties as stated (0 everywhere except the origin which by definition has a limit tending to 0), must therefore also have an integral of 0. The answer is therefore zero everywhere except at the origin where it is infinite.
What is unit impulse function?
the unit impulse function g(t)
How I can transform 4 mm NaCl to ppm?
mm is unit of length, ppm is a non-SI unit of concentration.
What is meant by the phrase the cell is the function unit of life?
nonsence duffer is the function unit of life
