What is the basic relationship between the spectrum o f the real band pass signal x(t) and the spectrum of the equivalent low pass signal xl(t)?(a) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (F-F_c)]\)(b) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (F+F_c)]\)(c) X (F) = \(\frac{1}{2} [X_l (F+F_c)+X_l^* (F-F_c)]\)(d) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (-F-F_c)]\)I had been asked this question during an interview.My doubt stems from Sampling of Band Pass Signals topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing

What is the basic relationship between the spectrum o f the real band

1.	What is the basic relationship between the spectrum o f the real band pass signal x(t) and the spectrum of the equivalent low pass signal xl(t)?(a) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (F-F_c)]\)(b) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (F+F_c)]\)(c) X (F) = \(\frac{1}{2} [X_l (F+F_c)+X_l^* (F-F_c)]\)(d) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (-F-F_c)]\)I had been asked this question during an interview.My doubt stems from Sampling of Band Pass Signals topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing
Answer» The correct option is (d) X (F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (-F-F_c)]\) BEST explanation: X(F) = \(\frac{1}{2} [X_l (F-F_c)+X_l^* (-F-F_c)]\), where Xl(F) is the Fourier transform of xl(t). This is the basic RELATIONSHIP between the spectrum o f the real band PASS signal x(t) and the spectrum of the EQUIVALENT low pass signal xl(t).

Discussion

No Comment Found

Related InterviewSolutions

In D/A converter, the application of the input code word results in a high-amplitude transient, called?(a) Glitch(b) Deglitch(c) Glitter(d) None of the mentionedThis question was posed to me during an online exam.The query is from Digital to Analog Conversion Sample and Hold in portion Sampling and Reconstruction of Signals of Digital Signal Processing
What is the impulse response of an S/H, when viewed as a linear filter?(a) h(t)=\(\begin{cases}1,0≤t≤T\\0,otherwise\end{cases}\)(b) h(t)=\(\begin{cases}1,0≥t≥T\\0,otherwise\end{cases}\)(c) h(t)=\(\begin{cases}1,0
In a D/A converter, the usual way to solve the glitch is to use deglitcher. How is the Deglitcher designed?(a) By using a low pass filter(b) By using a S/H circuit(c) By using a low pass filter & S/H circuit(d) None of the mentionedThis question was addressed to me in an interview.This intriguing question originated from Digital to Analog Conversion Sample and Hold topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing
The time required for the output of the D/A converter to reach and remain within a given fraction of the final value, after application of the input code word is called?(a) Converting time(b) Setting time(c) Both Converting & Setting time(d) None of the mentionedThis question was addressed to me in an international level competition.Question is from Digital to Analog Conversion Sample and Hold topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing
D/A conversion is usually performed by combining a D/A converter with a sample-and-hold (S/H ) and followed by a low pass (smoothing) filter.(a) True(b) FalseThe question was posed to me at a job interview.The origin of the question is Digital to Analog Conversion Sample and Hold topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing
The reconstruction of the signal from its samples as a linear filtering process in which a discrete-time sequence of short pulses (ideally impulses) with amplitudes equal to the signal samples, excites an analog filter.(a) True(b) FalseThe question was posed to me during an online interview.My doubt stems from Digital to Analog Conversion Sample and Hold topic in portion Sampling and Reconstruction of Signals of Digital Signal Processing
The ideal reconstruction filter is an ideal low pass filter and its impulse response extends for all time.(a) True(b) FalseThe question was asked in class test.I'm obligated to ask this question of Digital to Analog Conversion Sample and Hold topic in division Sampling and Reconstruction of Signals of Digital Signal Processing
In the practical A/D converters, if the differences between transition values are not all equal or uniformly changing, then such error is known as?(a) Scale-factor error(b) Offset error(c) Linearity error(d) All of the mentionedThis question was addressed to me during an online interview.My question comes from Quantization and Coding in section Sampling and Reconstruction of Signals of Digital Signal Processing
What is the ideal reconstruction formula or ideal interpolation formula for x(t) = _________(a) \(\sum_{-\infty}^\infty x(nT) \frac{sin⁡(π/T) (t-nT)}{(π/T)(t-nT)}\)(b) \(\sum_{-\infty}^\infty x(nT) \frac{sin⁡(π/T) (t+nT)}{π/T)(t+nT}\)(c) \(\sum_{-\infty}^\infty x(nT) \frac{sin⁡(2π/T) (t-nT)}{2π/T)(t-nT}\)(d) \(\sum_{-\infty}^\infty x(nT) \frac{sin⁡(4π/T) (t-nT)}{(4π/T)(t-nT)}\)I got this question in homework.Question is taken from Digital to Analog Conversion Sample and Hold in portion Sampling and Reconstruction of Signals of Digital Signal Processing
What is the new ideal interpolation formula described after few problems with previous one?(a) g(t)=\(\frac{sin⁡(2πt/T)}{(πt/T)}\)(b) g(t)=\(\frac{sin⁡(πt/T)}{(πt/T)}\)(c) g(t)=\(\frac{sin⁡(6 πt/T)}{(πt/T)}\)(d) g(t)=\(\frac{sin⁡(3 πt/T)}{(πt/T)}\)The question was posed to me during an internship interview.My question is based upon Digital to Analog Conversion Sample and Hold in division Sampling and Reconstruction of Signals of Digital Signal Processing

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment