Questions tagged [amplitude]

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9
votes
5answers
12k views

Equal power crossfade

I am working on an audio system where I need to implement an equal power crossfade between two signals over a specified number of samples. Initially I implemented a linear fade but this creates a dip ...
8
votes
1answer
16k views

Converting raw I/Q to dB

I am getting I/Q data from a software-defined radio. I want to do some stuff on signals in the data, but only if it exceeds a certain range. What is the general procedure to get dB (dBm, or anything)...
7
votes
2answers
7k views

Extracting accurate phase and amplitude information from FFT with an arbitrary number of samples

This is a followup question to one I asked earlier based on the chat after the answer given by @hotpaw2, and cross-posted from stackoverflow since it was suggested it is more relevant to DSP. I have a ...
5
votes
3answers
1k views

Understanding FFTs for simple Sin / Cos

this is my first question in this forum, and although I read several threads on this side and googled a lot I could not find the answer to my question (maybe it is too basic)? For anyone reading this ...
5
votes
2answers
3k views

What is the right way to extract particular frequency phase information from FFT?

Signals acquisition: Two proximity sensors are positioned Orthogonal to each other. These would be measuring the vibrations of a rotating shaft. Problem: Each of these 2 signals has two dominant ...
4
votes
2answers
8k views

Why FFT does not retrieve original amplitude when increasing signal length

I don't understand why FFT return different maximum amplitude as the signal length increase. I would except that with a large signal length according to the frequency, detected amplitude will be very ...
4
votes
1answer
4k views

How is the symbol error rate for M-QAM, 4QAM,16QAM and 32QAM derived?

How do you derive the theoretical symbol error rate as a function of $E_\mathrm{b}/N_0$ for 4QAM? I know that the result should be $Q\left(\sqrt{2E_\mathrm{b}/N_0}\right)$ but I am ĺooking for the ...
4
votes
3answers
3k views

Peak to peak amplitude of sum of sinusoidals (harmonic frequencies)

I would like to estimate the peak-to-peak amplitude of a periodic signal whose frequency components are known. This is, I have the frequency spectrum (a peak in the fundamental frequency and other ...
4
votes
1answer
784 views

Amplitude of an Image

If I take a two dimensional image and conduct a fourier transform on it, I would get a two dimensional matrix of complex values. If I want to find the amplitude of each value, is that the same as ...
4
votes
1answer
2k views

Calculating SPL from pressure signal - Amplitude vs Power method

I have a pressure signal from a Fluent FFowcs-Williams Hawkings acoustics analysis. I converted this pressure signal into the frequency domain in order to get SPL values, using Matlab. I used the ...
4
votes
2answers
290 views

Lock-in amplifier

From what I have studied so far I have understood that the benefit of a lock in amp is its ability to resolve the amplitude of a signal which is deep into noise. I was wondering if the same concept ...
4
votes
1answer
1k views

Why do we read that Hilbert transform can be used for envelope detection?

We can often read that Hilbert transform is useful for envelope detection (e.g. Hilbert transform to compute signal envelope?) I have done some tests with various soundfiles, and ...
4
votes
1answer
1k views

Envelope of a signal via Convex hull / Edge detection

Is there a method in order to compute some sort of edge detection / convex hull of a signal x[n] (in orange here). Here of course the orange signal is not convex ...
3
votes
3answers
4k views

Adequate representation of frequency domain amplitude/magnitude of FFT of a signal

I'm quite new to the subject and am having fun playing around with the FFT. What I am currently doing is trying to sample an audio signal and display its frequency spectrum at the same time. This ...
3
votes
2answers
1k views

Do DCT results contain phase spectrum?

I've been working much with numpy.fft lately where just like the documentation says: When the input a is a time-domain signal and ...
3
votes
4answers
211 views

Amplitude of the fft is less than what is expected

This is my MATLAB code ...
3
votes
2answers
3k views

Help me understand how Pulse-Amplitude Modulation (PAM) works

Reading on the Internet i learned that PAM is basically a sampling technique which converts an analog signal into a discrete signal. It modulates a train of pulses by varying the amplitudes of the ...
3
votes
1answer
414 views

Estimation of the amplitude of a frequency component in a signal

I'm working on a device that produces a signal with sampling rate of 100 kHz. Every 40 ms, I receive 16000 points, from which I have to extract a frequency close to 3.55 kHz. I have developed a method ...
3
votes
1answer
669 views

MATLAB FFT Amplitude

I am trying to understand FFT, DFT through Matlab and I am fairly inexperienced in all of these. I have a time vector t and a corresponding simple sine wave x = 0.25*sin(t). Now I would like to view ...
3
votes
2answers
17k views

Difference between single sided and double sided amplitude spectrum

I've recently gotten stuck with a small issue. I was asked to plot the single sided amplitude spectrum of the signal $x(t)=\cos(2\pi\cdot20000t)$. I know that $X(f) = \frac{1}{2}\cdot\left[\delta(f-...
3
votes
1answer
776 views

How we do frequency shaping and amplitude shaping in hearing aid

My project name is Digital Hearing Aid with frequency shaping and amplitude shaping using adaptive noise cancellation DSKC6713 DSP kit . Almost I have done this noise cancellation using code studio ...
3
votes
2answers
2k views

A clarinet has no even harmonics. What would produce no odd harmonics?

According to this link, the waveforms of clarinets do not have even-numbered components in their harmonic series: A closed cylindrical air column will produce resonant standing waves at a ...
2
votes
3answers
858 views

What is the (approximate) function for amplitude of a plucked string over time? Does it differ between string types?

Impetus: I'm currently working on my first synthesizer, after many years of playing with them. I've just added an ADSR envelope to modify the gain, but for some reason it sounds wrong to me. I've ...
2
votes
4answers
108 views

50Hz sine wave precise amplitude measurement

I have a 50Hz sine wave(mains voltage divided to the full-scale voltage of the ADC) sampled at 4kHz with not much noise in it. I want to measure precisely the peak-peak voltage of the sine. My first ...
2
votes
1answer
1k views

What's the fastest way to get the phase angle and amplitude of a COSINUS 50hz signal?

I'm not a DSP specialist.I'm working in transmission and distribution. I need to retrieve the amplitude and phase angle of a discrete 50Hz COSINUS signal as fast as possible. Right now I'm using a ...
2
votes
1answer
84 views

Amplitude estimation of sinusoid in known spiky spectral noise

What is the "best" way to estimate amplitude of a known-frequency sinusoid in the presence of known spiky spectral noise (i.e. noise comprising a few spectral peaks at known frequencies)? By "best", ...
2
votes
3answers
48 views

Characterization of transfer functions with no local peaks

Assume that you are giving an arbitrary amplitude frequency response $A(\omega)=|H(j\omega)|$ Is there a characterization that ensures that $A$ is monotone? i.e, $A$ has a global maximum at $\omega=0$...
2
votes
2answers
136 views

Estimation of step amplitude using the CUSUM algorithm

I used the CUSUM algorithm to detect steps in data. Basically the data looks like this, the data has a constant amplitude and then there is a rapid variation or a step. For example, the signal has a ...
2
votes
1answer
169 views

Amplitude Spectrum, Nyquist Frequency, mixed/min/max wavelets

The problem is here. Now I know the definition of mixed/max/min phase wavelets, whether the roots lie within the unit circle or not. Starting from n = 1, let $$ x_t = ( 5, 6) $$ $$ X(z) = 5 + 6z $$ ...
2
votes
1answer
166 views

Perform lowpass filter by hand

I've done research and could not find any resources on this topic. I have message signal composed of more sinusoids. Then I preform amplitude modulation, that is multiply that signal with higher ...
2
votes
4answers
2k views

How do I calculate peak amplitude of the signal components after zero padding and FFT?

I am learning about DFT and trying to apply it to some audio processing. I am new to DSP but experienced in programming and have some background in math and physics. The FFT algorithm I use (lomontFFT)...
1
vote
4answers
1k views

Transfer function between voltage and decibel output for in-ear headphones

What would be a decent formula for approximating the connection between voltage and decibel output for a typical set of unpowered in-ear headphones? I'm generating sine waves from the computer: an ...
1
vote
2answers
321 views

Estimating the amplitude of a particular frequency

I am relatively new to DSP and have been reading a lot on the internet. I have a couple of questions. I have a signal in the form of a function $$ f(x) = A_0 + A_1 \cos(\omega_1 x) + A_2 \cos(\...
1
vote
2answers
2k views

Quadrature modulation for FM and AM

This might be a naïve question, are these correct statements? Both amplitude and frequency modulated radio signals nowadays use quadrature modulation and demodulation as a mean to transfer and ...
1
vote
2answers
484 views

Closest two frequencies that can be resolved

Forgive me if I misuse the terminology. I wish to transmit two slowly changing analogue signals by amplitude modulating two higher frequency sinusoidal carrier waves. I will superimpose the two AM ...
1
vote
2answers
5k views

How do I calculate the frequency of the highest amplitude wave?

I have a number of values retrieved from a sampled signal that is generated randomly for no specific purpose. The task I am presented with (Quoted below): calculate the frequency of the highest ...
1
vote
1answer
111 views

How to compute correct phase in FFT even after applying phase unwrap and zeroing round off error?

I am converting a time-domain synthetic 1D signal to frequency domain using MATLAB fft. In the frequency domain, the amplitude vs frequency plot is coming reasonable which means it is showing the ...
1
vote
2answers
729 views

How to assess perceptual volume from FFT

So far I could estimate signal volume from FFT using amplitude information, then adding all amplitudes together and divide this number by the number of frequencies. But I think this method does not ...
1
vote
1answer
1k views

Bits - symbols mapping in M-PAM beginner question

I am trying to implement a M-PAM modulator in Matlab without using the built-in functions. I am confused when it comes to the symbols-bits mapping. Say I have a sequence of bits: ...
1
vote
3answers
2k views

Get frequency and amplitude from an audio sample [closed]

I'm wondering how can i get the frequency and the amplitude from a 16 bits sample. I have actually an array of 16 bits signed int and I would like to get the frequency and the amplitude of each sample....
1
vote
3answers
647 views

Amplitude cutoff following FFT

suppose I have a noisy sine wave (as R code): ...
1
vote
1answer
77 views

Bandpass filter equivalent for amplitude

I have a signal where I am using a bandpass filter to limit the frequency range. I am also interested in filtering the remaining frequencies (after bandpass filtering) within the signal by their ...
1
vote
1answer
55 views

Calculating transmitter power from spectral density

I want to find out what is the real transmit power of my USRP 2922, unfortunately the only results I get when looking at the spectrum analyzer is the spectral power density. These are the results of ...
1
vote
1answer
766 views

What is the step response curve of a second order low pass filter? And what if it is set for resonance?

I am doing a lot of audio synthesis DSP where I need to use low pass filters to shape the decay of an impulse. I understand that a one pole filter fed a discontinuity, say from a steady state of 1's ...
1
vote
2answers
73 views

Estimate amplitude of signal between 45 Hz-60 Hz

I have to estimate the amplitude of vibration of a real world robot. The signal is originating from a laser distance measurement, and the vibrations are somewhere between 45 and 60 Hz. I'm using ...
1
vote
1answer
972 views

Maximum Throughput of QAM system

Consider a QAM system designed to transmit over a bandwidth of $3 \ \mathrm{kHz}$. The channel's power constraint imposes a maximum $\mathrm{SNR}$ of $30 \ \mathrm{dB}$. The system can tolerate a ...
1
vote
3answers
110 views

Logaritmic amplitude squarewave

This morning i was experimenting with GNU Octave. I created several signals(Sine, Saw tooth, square wave and noise). After this i used the periodogram. in the periodogram the square wave weren't ...
1
vote
1answer
828 views

How do I calculate the autocorrelation of a train pulse having only the pdf?

I have a pulse train of a fixed period, but a random amplitude following a Gaussian distribution $(\mu=0,\sigma=1)$. I know how to work with a random period or delay, but how do I proceed to calculate ...
1
vote
1answer
310 views

In speech recognition applications, how are different voice amplitudes handled? (i.e loud vs. quiet tones)

I am doing some research related to real-time voice/hotword recognition engines. In most current implementations, input is divided into frames (overlapping or not), and audio features are extracted ...
1
vote
2answers
3k views

FFT Overlap in Matlab

I am getting incorrect amplitude of my signal post FFT (90% error) and it does not improve after applying any of the window functions prior to FFT. After reading a number of articles, I believe FFT ...