basicdsplibrary

A lightweight Python package providing fundamental Digital Signal Processing (DSP) algorithms such as DFT, IDFT, DFS, DTFT, Linear convolution, Circular convolution, FIR low-pass/high-pass filter design, DCT,DWT, Overlap save/add method, Radix-2 DIT/DIF-FFT algorithm and more.
Ideal for students, researchers, and developers working with signal processing.

🚀 Installation

Install directly from PyPI:

pip install basicdsplibrary

## 📦 Available Functions

| Function       | Description |
|----------------|-------------|
| `dft`          | Computes the Discrete Fourier Transform (DFT). |
| `idft`         | Computes the Inverse Discrete Fourier Transform (IDFT). |
| `dfs`          | Computes the Discrete Fourier Series. |
| `idfs`         | Computes the Discrete Fourier Series. |
| `dtft`         | Computes the Discrete-Time Fourier Transform (DTFT). |
| `lin_conv`     | Performs linear convolution of two signals. |
| `circ_conv`    | Performs circular convolution of two signals. |
| `dct`          | Computes the Discrete Cosine Transform. |
| `dwt `         | Computes 2nd level Discrete Wavelet Transform using haar wavelet. |
| `upsample`     | Upsamples a signal by an integer factor. |
| `downsample`   | Downsamples a signal by an integer factor. |
|`radix2_dit_fft`| Determines DFT using Radix-2 DIT FFT method |
|`radix2_dif_fft`| Determines DFT using Radix-2 DIF FFT method |
| `overlap_save` | Determines Linear convolution using overlap save method |
| `overlap_add`  | Determines Linear convolution using overlap add method |
| `fir_lp`       | Designs a low-pass FIR filter using windowing. |
| `fir_hp`       | Designs a high-pass FIR filter. |
| `fir_bp`       | Designs a band-pass FIR filter. |
| `fir_bs`       | Designs a band-stop FIR filter. |
| `moving_avg`   | Computes a moving-average (MA) smoothing filter. |
| `corr`         | Computes correlation between two signals. |
| `auto_corr`    | Computes autocorrelation of a signal. |
| `energy`       | Computes signal energy. |
| `power`        | Computes average power of a signal. |

## 🧠 Usage Examples

Below are some basic examples demonstrating how to use the functions in the `basicdspalgorithms` package.

---

### ✔️ Import Functions

```python
from basicdsplibrary import (
    dft, idft, dfs, dtft,
    lin_conv, circ_conv,
    upsample, downsample,
    fir_lp, fir_hp, fir_bp,
    moving_avg, energy, power
)

### 📌 Example-1

x = [1, 2, 3, 4]
X = dft(x)
print("DFT:", X)

### 📌 Example-2

x = [1, 2, 3, 4]
X = lin_conv(x)
print("Linear Convolution:", X)

### 📌 Example-3

x = [1, 2, 3, 4]
X = circ_conv(x)
print("Circular Convolution:", X)

### 📌 Example-4

h = fir_lp(11,0.785)
print(f"FIR LP filter using Hamming window(order={11},wc={pi/4}) :")

Change Log
===================

0.012 (16/11/2025)
Second Release

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