"ASSIGNMENT FOR DIGITAL SIGNALPROCESSINGProf. Rashmi PatilAssignment No: 2Questions: Answer the following multiple choice questions.Q1 If a signal x(n) is passed through a system to get an output signal ofy(n)=x(n+1), then the signal is said to be:a) Delayedb) Advancedc) No operationd) None of the mentionedQ.2 What is the output y(n) when a signal x(n)=n*u(n)is passed through aaccumulator system under the conditions that it is initially relaxed?2 a) (n +n+1)/2b) (n(n+1))/22 c) (n +n+2)/2d) None of the mentionedQ.3 The output signal when a signal x(n)=(0,1,2,3) is processed through an‘Delay’ system is:a) (3,2,1,0)b) (1,2,3,0)c) (0,1,2,3)d) None of the mentionedQ.4 Whether the system described by the input-output equations y(n)=x(n)- x(n-1) a Time-variant system?a) Trueb) FalseQ.5If the output of the system of the system at any ‘n’ depends only thepresent or the past values of the inputs then the system is said to be:a) Linearb) Non-Linear c) Causald) Non-causalQ.6 The output signal when a signal x(n)=(0,1,2,3) is processed through an‘Identical’ system is:a) (3,2,1,0)b) (1,2,3,0)c) (0,1,2,3)d) None of the mentionedQ.7 If the output of the system is ? ? ( n ) = ? x ( k )? = - 8 with an input of x(n) then the system will work as:a) Accumulatorb) Adderc) Subtractord) MultiplierQ.8 The block denoted as follows is known as:a) Delay blockb) Advance blockc) Multiplier blockd) Adder block3 Q.9 The system described by the input-output equation y(n)=nx(n)+bx (n) isa:a) Static systemb) Dynamic systemc) Identical systemd) None of the mentioned2 Q.10 The system described by the input-output equations y(n)=x (n) is a Non- linear system.a) Trueb) False ASSIGNMENT SOLUTIONS FOR DIGITALSIGNAL PROCESSINGProf. Rashmi PatilAnswer key to assignment No.21 bExplanation: For example, the value of the output at the time n=0 isy(0)=x(1), that is the system is advanced by one unit.2 bExplanation: Given that the system is initially relaxed, that is y(-1)=0According to the equation of the accumulator,3 bExplanation: An delay system is a system whose output is same as theinput, but after a delay.4 bExplanation: If the input is delayed by k units then the output will be y(n,k)=x(n-k)-x(n-k-1)If the output is delayed by k units theny(n-k)=x(n-k)-x((n-k)-1)=y(n,k)=y(n-k). Hence the system is time- invariant.5 cExplanation: A system is said to be causal if the output of the systemis defined as the function shown belowy(n)=F[x(n),x(n-1),x(n-2),…] So, according to the conditions given inthe question, the system is a causal system.6 cExplanation: An identical system is a system whose output is same as "