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Questions tagged [bandwidth]

the difference between the upper and lower frequencies in a contiguous set of frequencies

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1 answer
114 views

Cutoff frequency condition of input signal so that it can be reconstructed , given frequency response (Answer explanation?)

For the following system: We have: $$r(t) = s(t) + Ks(t-\tau)$$ where $|K|< 1$, with the following impulse response $h(t)$ and frequency-response $H(f)$: $$h(t) = \delta_0(t) + K\delta_0(t-\tau)$$ ...
0 votes
1 answer
41 views

Choosing a suitable modulation format

I'm trying to deal with this question about multiplexing and choosing an appropriate modulation format. It's in two parts. (i) You need to design a system for the transmission of surround audio ...
1 vote
1 answer
828 views

Why does the bandwidth of a signal need to be half of the sampling rate? [duplicate]

Suppose I perform a DFT on some function with sampling rate of $\frac{1}{\Delta t}$. According to this page, the bandwidth, which is the maximum frequency that can be analyzed when performed the DFT, ...
4 votes
1 answer
3k views

How Does the RMS of White Noise Change with Sampling Frequency?

There is an analog system which includes the continuous-time linear equalizer (CTLE). With some .noise analysis the power-spectral density (PSD) of the noise in that system is provided. So let's not ...
0 votes
3 answers
74 views

very basic confusion about the bandwidth of constant signal function

I have a very basic question about bandwidth of constant function $f(t) = K$. As the Fourier transform of a constant pulse is a delta-function centered at zero frequency, the bandwidth (maximum value ...
4 votes
1 answer
479 views

Bandwidth of Information Signal

I have trouble finding the bandwidth of a signal. Say I have an info bearing signal m(t)=sinc(2t/pi). I found the fourier transform of the sinc function and found that the angular frequency was 1/pi. ...
3 votes
2 answers
529 views

$Q$ factor refers to what on a lowpass filter? (EE kind of definition)

For what I'm learning, the bandwidth (of a BPF, for example) refers to the $\Delta$ between $f_L$ and $f_H$ at (usually) $-3\textrm{ db}$ from the $f_0$ (from wiki). For a peaking filter instead, $f_L$...
0 votes
1 answer
62 views

What is the most used signal for basic pulse?

My professor said that: in order to avoid interferences/harmonics caused by the nature of the square wave g(t) (sinc will have these secondary lobes), it's better to change the basic pulse g(t) to ...
0 votes
1 answer
61 views

DAC/ADC sample rate selection for modem

So I have a very basic on which I couldn't find much details anywhere. I'll start with an example: I have to transmit 100Mbps of BPSK data. Roll-off factor is 0.25. This data will be processed at ...
0 votes
1 answer
579 views

Two question about RBJ Peak filter

I'm new into DSP and Filters in general. Its the first step ahead I do from learning and using a 1-pole IIR basic Low Pass Filter. I'm about to implement for my VST audio application (using C++ and ...
2 votes
2 answers
151 views

Bandwidth of a complex pole

Text from "Fundamentals of Speech Recognition (Rabiner)". A complex pole of the LPC model spectrum can be expressed as $Z_i = > r_i \cdot e^{j \omega_i} $, where $r_i$ and $\omega_i$ are ...
2 votes
2 answers
202 views

Is the constant signal $x(t)=1$ bandwidth limited?

A quick question I was asked by a friend for homework. We have an LTI system and we needed an example for reconstruction and such... Anyway, he asked me if the constant signal is bandwidth limited. ...
0 votes
1 answer
38 views

Understanding frequency band specification in wireless networks

I am trying to clear my understanding of frequency bands. When a particular wireless network standard like WiFi 6 claims operation in the $2.4$ GHz or $5$ GHz band, what do these values refer to? I am ...
6 votes
1 answer
1k views

Bandwidth of an entire song

My question has to do with the difference between the frequencies of a single note, and the frequencies of an entire song. If I have a 5 second signal of the form: $x(t)=\sin(8\pi t)$, here is the ...
1 vote
3 answers
294 views

Why are all baseband signals low-pass?

A baseband signal is just a signal that has not been used to modify a carrier signal. Now, I have noticed that all baseband signals are low-pass too. Why is that? I can understand why digital baseband ...
1 vote
1 answer
187 views

What does the bandwidth of a medium even mean?

Whenever the bandwidth of a medium linking two devices is greater than the bandwidth needs of the devices, the link can be shared. Multiplexing is the set of techniques ... Forouzan, Data ...
1 vote
2 answers
6k views

Relationship between signal rate, data rate, minimum bandwidth

I need to understand the relationship between bit rate, signal rate and minimum bandwidth. I read in a textbook that We define three cases for relationship between bit rate and signal rate for ...
0 votes
1 answer
35 views

DAC sampling rate when using DSSS/CDMA

I'm currently not sure if I understood DSSS correctly. Following example: We have a shared RF network with around a thousand of users and we want to use CDMA. The RF link should allow the streaming of ...
1 vote
0 answers
96 views

Measuring thermal noise of RLC circuit

I am confused about Johnson-Nyquist noise. Specifically, where does bandwidth come in? Thermal noise voltage is usually defined as something like: V^2=4kT∫R(f)df, integrated over a bandwidth. I am ...
1 vote
1 answer
447 views

Does bandwidth include negative frequencies?

I've seen countless definitions of bandwidth that disregard negative frequencies. Is that done due to the symmetrical nature of a certain signal eg. a cosine or due to the inherent lack of meaning ...
0 votes
0 answers
15 views

Clarification on video about frequency deviation in phase modulation bandwidth

I am watching this video and at 7:12 he calculates the frequency deviation $\Delta f = f_{c}f_{m}A_{m} $ where the $c$ underscript is for "carrier" and the $m$ underscript is for "...
0 votes
1 answer
2k views

Meaning of roll-off factor 0.5 and bandwidth

We currently have a radio that is transmitting at the following RF params: Modulation: OQPSK Data rate: 500Kbps Uplink coding: BCH I am interested in understanding what is the associated uplink ...
1 vote
2 answers
4k views

Minimum Channel Bandwidth for PCM

Please check if my answer to GATE IN 2010 question 11.20 is correct/can be improved upon. So, every $\frac{1}{f_s}$ sec, a sample is taken. The signal amplitude is quantized into $2^n$ levels such ...
2 votes
1 answer
109 views

In the RMS bandwidth equation, why do we have the energy of the signal in the denominator?

In the following equation: $$B_{\rm rms}^2 = \frac{\displaystyle\int_{-\infty}^\infty f^2\lvert G(f)\rvert^2df}{\displaystyle\int_{-\infty}^\infty \lvert G(f)\rvert^2df}.$$ It is not clear why do we ...
0 votes
1 answer
517 views

spectral bandwidth of QPSK signal

When running the MATLAB QPSK transmitter and receiver example (found here: QPSK Tx and Rx Example) you can see on the plot of the spectrum that the bandwidth is ~80kHz. If we double click on ...
-3 votes
1 answer
66 views

Bandwidth transmission for uniform PCM using m-ary PPM

I have a uniform PCM whose bandwidth is W = 1Hz and n = 12 bits, i.e. the transmission bandwidth B_T = n*W = 12Hz. Given this features of the signal, I need to calculate the minimum transmission ...
2 votes
1 answer
89 views

LTI system tradeoff between gain, bandwidth, and delay

For first-order LTI systems, the gain-bandwidth constant is often discussed. I've seen the claim that in general, gain and bandwidth don't directly trade off with each other as much as delay. For an ...
0 votes
1 answer
146 views

How to calculate the bandwidth of a continuous signal in an interval?

I am struggling with a task I thought would be a good exercise. I am tasked with calculating the bandwidth of the equation below and I'm struggling. I managed to find and understand why $\text{sinc}(t)...
-1 votes
1 answer
62 views

gnuradio , SDR usrpx300

I use usrp x300 SDR. I'm confused about Bandwidth and sample_rate. How do I calculate them? is ...
0 votes
1 answer
1k views

Spectrum analyzer resolution bandwidth (RBW) for LTE signals

I am trying to measure the maximum output power of an SDR transmitting a 20 MHz LTE signal with a spectrum analyzer. Adjusting the resolution bandwidth (RBW) changes the power spectral density (PSD) ...
1 vote
2 answers
224 views

Can frequency multiplier (e.g. doubler) impact signal bandwidth?

My understanding is that if a single tone at frequency F is inputted to the frequency doubler, one should observe at its output in the spectrum the same tone but now at a frequency 2F. However, what ...
0 votes
2 answers
127 views

Maximum bandwidth of radio-frequency filter to avoid the image frequency

Consider the following super-heterodyne receiver The carrier frequency of the local oscillator is chosen to be $$ f_{LO} = f_c + f_{IF} \tag{1} $$ where $f_c$ is the transmitted carrier frequency and ...
0 votes
1 answer
337 views

One-sided bandwidth of the Gaussian filter

As defined in the CCSDS (section 3.1.2), the impulse response of the Gaussian filter is given by $$ h(t) = \frac{1}{\sigma T \sqrt{2\pi}}e^{-\frac{t^2}{2\sigma^2T^2}} $$ where $$ \sigma = \frac{\sqrt{\...
3 votes
1 answer
1k views

Specify notch bandwidth by pole placement

I am trying to implement a notch filter by placing zeros and poles. I found in this thread how to specify the frequency to be filtered out (referred to as $\omega_n$ in previous link,) but it is not ...
2 votes
1 answer
336 views

Is the maximum possible bandwidth of a radar system dependent (or related) to its center frequency?

One of the core parameters of any radar system is its center frequency. Another core parameter is its bandwidth, which is the reciprocal of its ranging resolution. I am wondering: Is there some sort ...
0 votes
1 answer
1k views

How to calculate data rate in ground to satellite communication

I want to calculate the data rate in uplink transmission from ground IoT device to satellite. Is it possible to calculate it with the traditional Shannon equation: $$R = B \log_2\left(1 + \cfrac{P\...
0 votes
1 answer
69 views

How does carrier size / bandwidth effect propagation

I'm working with software-defined coded orthogonal frequency division multiplexing radios. They have a choice of bandwidth, 1,2,3-20MHz. Of course, as you increase your bandwidth (carrier size), you ...
1 vote
1 answer
92 views

Is my solution correct?

$\textbf{Question:}$ $y_a(t)$ is a rectangular waveform defined as: $$\ y_a(t) = \begin{cases} 2 &t \in [0,1/25)s\...
0 votes
1 answer
624 views

Bandwidth for Noise Calcuation FMCW Radar

I am trying to determine the thermal noise for a Frequency modulated continuous wave radar. The radar is the TI IWR6843 chip. Currently, I am using the radar to transmit a chirp with a bandwidth of 4 ...
0 votes
2 answers
92 views

How to achieve 3 Gbps with 210 MHz bandwidth in 5G?

I read an article from T-Mobile link where they claimed a 3Gbps speedtest with the aggregation of 3 three bands in 5G. How it is possible to make 3 Gbps with a 210 MHz bandwidth and using 256QAM in 5G?...
0 votes
1 answer
120 views

Bandwidth of cosine of bandlimited signal

I have a signal $x(t)$ with bandwidth $B_x$, and I am taking its cosine to create $y(t) = cos(x(t))$. After checking the spectrum with FFT, it seems that $y(t)$ is also bandlimited. But, is there a ...
0 votes
1 answer
81 views

Minimum bandpass bandwidth?

Is there any restriction on decreasing the bandwidth (beyond the sampling rate) that I should be aware of when filtering a signal with a bandpass? My intuition tells me that the quality of the result ...
2 votes
1 answer
195 views

Rayleigh Bandwidth Calculation-Radar

I am trying to generate a simple Gaussian pulse that has a 1 ns pulse width. However, when I generate the pulse, I realized that I did not meet the condition that calculates Rayleigh Bandwidth (1/...
1 vote
2 answers
70 views

What is the optimal transient for turning on a harmonic signal with minimal bandwidth?

Given a harmonic signal of a certain frequency and amplitude, what is the optimal way of "turning on" this signal from zero to full amplitude within a given time window under the constraint ...
1 vote
1 answer
110 views

Bandwidth of a modulated signal in analog domain

If i am using QPSK modulation with data rate 4 Mbps with rolloff factor $0.5$, then the bandwidth will be symbol $\rm rate\times (1 + rolloff\ factor)$. So here it will be $\rm 2\ MHz\times 1.5 = 3\ ...
2 votes
3 answers
305 views

Why are real-world digital images not bandlimited?

In the materials about image resampling, it always mentions that real-world digital images not bandlimited. However no explanation is provided. For example, Sinc resampling in theory provides the ...
4 votes
1 answer
849 views

How is the maximum theoretical data rate of a channel equal to $2B\log_2(V)$ bits/sec.?

According to Andrew S. Tanenbaum (in "Computer Networks", Chap. 2, Section 4 "The Maximum Data Rate of a Channel"), the Nyquist/sampling theorem states that "if an arbitrary ...
2 votes
1 answer
369 views

Find Bandwith from Spectral Efficiency and Eb/N0

to give you a short intro of why I am asking here. My Uni is offering a TeleCom Lecture, I love the topic but all they teach is electronics, the exercise sheets are still TeleCom, we get no supporting ...
2 votes
2 answers
409 views

Estimating pole radius of formant filter from bandwidth

I wish to design an all-pole formant filter by specifying frequency θ (between 0 and π radians for Nyquist) and bandwidth Φ such that the response of the filter at θ-Φ and at θ+Φ should be roughly 50% ...
0 votes
1 answer
69 views

How to solve this degree $2N$ polynomial equation of filter's cut-off frequency?

In a paper I am interested in, the following equation is given to determine the cut-off frequency $\omega$ of a filter: $$t^{2N}+\left[-2\left(1-\frac{1}{2Q^2}\right)\right]t^N +\left[-\left(\frac{|H(\...

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