# Questions tagged [scaling]

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### Factor $|a|^{-1/2}$ in definition of mother wavelets

The mother wavelet is defined as $$\Psi_{a,\tau}(t) = \lvert a\rvert^{-1/2}\Psi\left(\frac{t-\tau}{a}\right)\tag{1}$$ in which the factor $$\lvert a\rvert^{-1/2}\tag{2}$$ is supposed to serve ...
1answer
727 views

### How to “scale” the FFT when using it to calculate discrete convolution?

As you probably know, the discrete convolution $H = F \ast G$ of some $F \left[ x \right]$ and some $G \left[ x \right]$ can be calculated using the Fast Fourier Transform (FFT). To do this, ...
3answers
900 views

### Theoretical Maximum of DFT

For any discrete input signal between +1 and -1, what is the theoretical maximum DFT? If the input is a cosine of $N$ samples with amplitude $A$, the peak spectral magnitude is $A*N/2$. But what ...
1answer
217 views

### Implementation of IIR Filter in dsPIC 33EP - Scaling

I have to implement an IIR controller in dsPIC 33EP (16-bit, fixed-point, two's complement, wrap-around, 40-bit accumulator, 32-bit multiply, 12-bit ADC) and I am using cascaded, Direct Form I second ...
1answer
633 views

### Digital 16-bit PCM audio signal scaling and STFT spectogram amplitude

I'm sampling a 16-bit PCM audio signal at 44100 Hz and I'm trying to understand the amplitude level of both the digital audio signal and its corresponding spectrum. The final goal is creating audio ...
1answer
1k views

### What is the relationship between scales and frequency in a Morlet wavelet transform?

I'm using PyWavelets, with a complex Morlet wavelet. Its complex wavelet transform function requires scales as one of its parameters, rather than frequencies. However, I don't understand the ...
1answer
53 views

### Library/strategy for rotate & scale image alignment/registration

I have two raster images of maps, A and B. I know that B contains A but I do not know the scale or rotation. There should not be any other distortions between the image but there may be noise. ...
2answers
101 views

### Digital RF signal vector resize algorithm

I'm searching for an algorithm for resizing a RF sampled signal in order to draw it without losing any important maximum or minimum values. The values of the vector are negative/positive around zero.
0answers
36 views

### Scaling issue after doing manipulations in FFT

I have two filters which must apply (in series) to same input data $x[n]$ e.g of length 256 (real time asio input buffers). One filter is e.g. an impulse response $h_1[n]$ of a speaker and other one ...
0answers
81 views

### Why is noise a power signal?

1. I'm generating a power signal: ...
1answer
163 views

### Overlap/add time-domain audio frames: How does normalization/scaling work with overlap greater than 50%?

I am attempting to overlap-add time-domain audio frames in a real-time context (with a continuous stream of data coming-in). Each frames consist of 1024 samples and have been previously "Hann" ...
2answers
97 views

### How to scale a signal to get desired variance [duplicate]

I am new to dsp, and I'd really appricate it if someone please help me with this problem. I guess it's a basic simple question, but I cannot get it write. Here is the question: The variance of a ...
1answer
38 views

### What's the right scale to represent a frequency spectrum?

To represent a 16 bits temporal spectrum, it's "easy" : my scale is going from -32000 to +32000. But What's the scale for a frequency spectrum ? I made that try : I calculated a pure single frequency ...
1answer
45 views

### what is multiresolution

I have gone to wavelets course and up to my knowledge, changing the scale and translation of wavelets produces multiresolution images. is this correct or can someone tell me what is multiresolution ...
1answer
51 views

### Most natural interpolation to simulate increasing distance?

Background: I'm generating multiple datasets with varying scales of resolution to simulate taking pictures from varying distances and then comparing image classification performances. For example ...
1answer
484 views

1answer
96 views

### signal saturation [duplicate]

My signal is an actuator displacement signal. It is a sinusoidal signal with the max amplitude of 10cm. I want to clip amplitude at 7 cm in Simulink. But with saturation block, I will get flat ...