Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| learn:courses:unit-7:start [2017/03/29 20:58] – Martha | learn:courses:unit-7:start [2022/10/04 11:38] (current) – external edit 127.0.0.1 | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ====== Unit 7: Audio Signal Processing ====== | ====== Unit 7: Audio Signal Processing ====== | ||
| + | [[{}/ | ||
| + | |||
| === Unit 7 Labs === | === Unit 7 Labs === | ||
| - | * [[https:// | + | * [[/ |
| - | * [[https:// | + | * [[/ |
| === Download This Document === | === Download This Document === | ||
| - | * {{ : | + | {{ : |
| Line 16: | Line 18: | ||
| ===== 2. Objectives ===== | ===== 2. Objectives ===== | ||
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| Line 26: | Line 28: | ||
| ===== 3. Basic Knowledge ===== | ===== 3. Basic Knowledge ===== | ||
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| Line 37: | Line 39: | ||
| ===== 4. Equipment List ===== | ===== 4. Equipment List ===== | ||
| ==== 4.1. Hardware ==== | ==== 4.1. Hardware ==== | ||
| - | | + | |
| - | | + | |
| - | | + | |
| In addition, we suggest the following instruments: | In addition, we suggest the following instruments: | ||
| - | | + | |
| ==== 4.2. Software ==== | ==== 4.2. Software ==== | ||
| The following programs must be installed on your development workstation: | The following programs must be installed on your development workstation: | ||
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| ---- | ---- | ||
| ===== 5. Project Takeaways ===== | ===== 5. Project Takeaways ===== | ||
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| Line 102: | Line 104: | ||
| The result of the substitution of Eq. 6.2 into Eq. 6.1 is also a rational polynomial, as shown in Eq. 6.3, that relates the output, $Y(z)$, to the input, $X(z)$. The polynomial coefficients $d_j$ and $c_i$ are not the same values as $b_j$ and $a_i$ used in Eq. 6.1. | The result of the substitution of Eq. 6.2 into Eq. 6.1 is also a rational polynomial, as shown in Eq. 6.3, that relates the output, $Y(z)$, to the input, $X(z)$. The polynomial coefficients $d_j$ and $c_i$ are not the same values as $b_j$ and $a_i$ used in Eq. 6.1. | ||
| - | $$H(z) = \frac{y(z)}{X(z)} = \frac{FILTERGAIN \cdot \sum_{j-0}^{M-1} d_j \cdot z^{-1}}{1 + \sum_{i=1}^{N-1} c_j \cdot z^{-i}} = \frac{FILTERGAIN \cdot \sum_{j=0}^{M-1} d_j \cdot X(z) \cdot z^{-j}} \qquad (\text{Eq. 6.3})$$ | + | $$H(z) = \frac{y(z)}{X(z)} = \frac{FILTERGAIN \cdot \sum_{j-0}^{M-1} d_j \cdot z^{-1}}{1 + \sum_{i=1}^{N-1} c_j \cdot z^{-i}} = \frac{FILTERGAIN \cdot \sum_{j=0}^{M-1} d_j \cdot X(z) \cdot z^{-j}}{1 + \sum_{i=1}^{N-1} c_i \cdot Y(z) \cdot z^{-i}} \qquad (\text{Eq. 6.3})$$ |
| Solving Eq. 6.3 for the output, $Y(z)$, as a function of the input, $X(z)$, results in Eq. 6.4. | Solving Eq. 6.3 for the output, $Y(z)$, as a function of the input, $X(z)$, results in Eq. 6.4. | ||
| Line 235: | Line 237: | ||
| </ | </ | ||
| - | ==== Listing A.2. C Code to Implement a 16 tap FIR Digital Filter Using Fixed Point Math | + | ==== Listing A.2. C Code to Implement a 16 tap FIR Digital Filter Using Fixed Point Math ==== |
| < | < | ||
| int16_t lowpass2KHzFIRCoefs[16]= | int16_t lowpass2KHzFIRCoefs[16]= | ||
| Line 368: | Line 370: | ||
| ---- | ---- | ||
| + | |||
| + | [[{}/ | ||
| + | [[{}/ | ||
| + | [[{}/ | ||
| + | [[{}/ | ||
| {{tag> | {{tag> | ||