```python
%matplotlib inline
```

```python
# FINAL GRADE: 24/25
```

# 592B Fall 2019 Problem Set 2 due Thurs 09/19 11.59PM

```python
import numpy as np
import matplotlib.pyplot as plt
import scipy.io.wavfile as wavfile

from ipywidgets import interactive
from IPython.display import Audio, display
```

The audio file in the directory that this notebook is in, `Fa50.wav`, comes from [Sameer ud Dowla Khan](http://www.reed.edu/linguistics/khan/index.html) at Reed College. It is an utterance of Bengali illustrating how Bengali intonational events chunk utterances into prosodic phrases. See page 101 of Khan's [dissertation on Bengali intonation](http://www.reed.edu/linguistics/khan/assets/Khan%202008%20disseration%20Intonational%20phonology%20and%20focus%20prosody%20of%20Bengali.pdf).

Here's an annotated f0 contour of `Fa50.wav` from that page.

You will be doing some work with this audio file in this problem set.

## Problem 1: converting from samples to time

Write a function that:
- plots the audio data from `t_start` to `t_stop`, with time in seconds on the x-axis
- creates an Audio object you can play, playing the audio data from `t_start` to `t_stop`.
- if you like, you can generate an interactive "widget" like we saw in the Class 2.2 notebook, where you can manipulate sliders and then see the plot and have the audio change.

You can take a look at the sample code for converting from samples to time in Class 2.2's notebook, but remember that there are problems with that code. You can do way better!

```python
# PROBLEM 1: 6/6. Please comment and include steps for debugging, checks for user input, etc.
```

```python
fs_1,audio_1 = wavfile.read("Fa50.wav")
total_sec= len(audio_1)/fs_1
def plotsAndPlay(audio,t_start,t_stop,fs,x_lim_max):
    x = np.linspace(t_start, t_stop, int(fs*(t_stop - t_start)+1))
    start_index= int(fs*t_start)
    end_index=int(fs*t_stop)+1
    audio= audio[start_index:end_index]
    plt.xlim(t_start,x_lim_max)
    plt.plot(x , audio, "-g", label="plot")
    plt.legend(loc="upper right")
    plt.xlabel('Time (s)')
    plt.ylabel('Amplitude (dB)')
    display(Audio(data=audio, rate=fs))

plotsAndPlay(audio_1,0,3.35,fs_1,total_sec)

```

## Problem 2: resampling audio data and writing it to file

The purpose of this problem is to:
- introduce you to [`scipy.signal`](https://docs.scipy.org/doc/scipy/reference/signal.html), which we will be continuing to use during the course.
- have you figure out how to write data to audio files
- give you experience with figuring out how to use unfamiliar functions own your own
- get you thinking more about the effect of sampling rates on representing signals

*n.b. in my past experience, people have sometimes had problems using `scipy.signal`'s resampling function on their machine. If that ends up being the case for you, you might try instead [`librosa`](https://librosa.github.io/librosa/)'s sampling function.*

1. Resample the bengali audio data using `scipy.signal.resample`, plot the resampled data, and also create a playable Audio object of the resampled data. Do this for two sampling rates: two times the original sampling rate of the file, and half of the original sampling rate of the file. Note: you may need to use `round()` and `int()` to coerce the number of samples to be an integer.
2. Try to explain why the audio sounds the way it does for the upsampled and downsampled audio.
3. Write the re-sampled audio to WAV files in the current directory using `scipy.io.wavfile.write`.
4. Use `scipy.io.wavfile.read` to read in your re-sampled files and check that the sampling rate is what you expect.

```python
## Grading Notes: 7/7
# 1. correct 2/2
# 2. correct 2/2
# 3. correct 2/2
# 4. correct 1/1
```

```python
import scipy.signal as signal
new_data_twice=signal.resample(audio_1,fs_1*2)
# display(Audio(data=new_data_twice,rate=fs_1))
# display(Audio(data=new_data_half,rate=fs_1))
plotsAndPlay(new_data_twice,0,1,fs_1*2-1,1)
# total_sec_half= int(len(new_data_half)/fs_1)

```

```python
new_data_half=signal.resample(audio_1,int(fs_1/2))
plotsAndPlay(new_data_half,0,1,fs_1/2-1,1)

"""Both audio are resampled with the given condition(two times the original and half of the original.),but was played at its
sampling rate. The former sounds more like a pitched-up version of the original because of higher sampling rate, the latter sounds
deeper and that's because of lower sampling rate"""
```

```python
import scipy
scipy.io.wavfile.write("half.wav",int(fs_1/2), new_data_half)
scipy.io.wavfile.write("twice.wav",fs_1*2,new_data_twice)

```

```python
fs_2,audio_2= wavfile.read("half.wav")
display(Audio(data=audio_2,rate=fs_2 ))
fs_3,audio_3= wavfile.read("twice.wav")
display(Audio(data=audio_3,rate=fs_3))
#it is indeed what we just played earlier
```

<audio  controls="controls" >
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## Problem 3: Fourier series of a square wave

We will be going over the introductory material you need for this on Tuesday 09/17, so feel free to wait until then to get started on this problem if you like.

### Define a square wave.
1. Define a function for a [square wave](http://mathworld.wolfram.com/SquareWave.html) with a period of 1, with y = 1 from x = 0 to 0.5, and y = 0 from x = 0.5 to 1. You might see if there are any functions in `scipy.signal` that could help.
2. Make a plot of your square wave showing 5 periods.

### Reconstruct the square wave using a Fourier series.
1. Calculate the Fourier coefficients for a square wave.  Note: there are an infinite number of
coefficients, so just calculate the first six. Try to find a
pattern for the coefficient values of the infinite series.
2. Plot the individual Fourier series terms, i.e., make plots of each of the following:
\begin{align}
      a_0\\
      a_1\cos(2\pi nt) + b_1\sin(2\pi nt)\\
      a_2\cos(2\pi nt) + b_2\sin(2\pi nt)\\
      a_3\cos(2\pi nt) + b_3\sin(2\pi nt)\\
      a_4\cos(2\pi nt) + b_4\sin(2\pi nt)\\
      a_5\cos(2\pi nt) + b_5\sin(2\pi nt)
\end{align}

3. Plot the reconstruction of the square wave as you add in successive terms in the Fourier series, i.e., make plots of each of the following (I am subsuming $a_0$ as a term in the sum by having the sum start from $n=0$):

\begin{align}
      \displaystyle\sum\limits_{n=0}^0 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
       \displaystyle\sum\limits_{n=0}^1 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
        \displaystyle\sum\limits_{n=0}^2 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
         \displaystyle\sum\limits_{n=0}^3 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
          \displaystyle\sum\limits_{n=0}^4 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
           \displaystyle\sum\limits_{n=0}^5 \left(a_n\cos(2\pi nt) + b_n\sin(2\pi nt)\right)\\
\end{align}

```python
## Grading notes: 11/12
# Define the square wave
# 1. correct 2/2
# 2. correct 1/1

# Reconstruct using fourier series
# 1. correct, but where are coefficient values? patterns? 2/3
# 2. correct 3/3
# 4. correct 3/3
```

```python
t = np.linspace(0, 5, 500, endpoint=True)
plt.plot(t, 0.5+0.5*signal.square(2*np.pi*t))
plt.ylim(-1,2)
#Through a bit of calculation, we see that a_0 =0.5 a_n= sin(pi*n)/(pi*n), b_n= 2*sin^2(pi*n/2)/(pi*n)
a_0= 0.5
import math
a_n = [math.sin(math.pi*n)/(math.pi*n) for n in range(1,6)]
a_n.insert(0,a_0)
b_n = [2*math.sin(math.pi*n/2)**2/(math.pi*n)for n in range(1,6)]
b_n.insert(0,0)
x = np.linspace(0, 5, 500, endpoint=True)
terms= [a_n[n]*np.cos(2*math.pi*n*x)+b_n[n]*np.sin(2*math.pi*n*x) for n in range(6)]

#material from the notebook was especially helpful
f_fourier_series, (ax1, ax2, ax3, ax4, ax5, ax6) = plt.subplots(6, sharex=True, sharey=True)
ax1.plot(x , terms[0], "-", label="n = 0")
ax1.set_title('Fourier series up to N = 5, a_n = b_n = 1')
ax2.plot(x , terms[1], "-", label="n = 1")
ax3.plot(x , terms[2], "-", label="n = 2")
ax4.plot(x , terms[3], "-", label="n = 3")
ax5.plot(x , terms[4], "-", label="n = 4")
ax6.plot(x , terms[5], "-", label="n = 5")

plt.xlabel('Time (s)')
plt.ylabel('Amplitude (dB)')

f_fourier_series.subplots_adjust(hspace=0)
plt.setp([a.get_xticklabels() for a in f_fourier_series.axes[:-1]], visible=False)

```

```python
x = np.linspace(0, 5, 500, endpoint=True)
sum = list()
temp= np.zeros(len(terms[0]))
for i in range(6):
    temp= terms[i]+temp
    sum.append(temp)

f_fourier_series, (ax1, ax2, ax3, ax4, ax5, ax6) = plt.subplots(6, sharex=True, sharey=True)
ax1.plot(x , sum[0], "-", label="n = 0")
ax1.set_title('Fourier series sum up to N = 5, a_n = b_n = 1')
ax2.plot(x , sum[1], "-", label="n = 1")
ax3.plot(x , sum[2], "-", label="n = 2")
ax4.plot(x , sum[3], "-", label="n = 3")
ax5.plot(x , sum[4], "-", label="n = 4")
ax6.plot(x , sum[5], "-", label="n = 5")

plt.xlabel('Time (s)')
plt.ylabel('Amplitude (dB)')

f_fourier_series.subplots_adjust(hspace=0)
plt.setp([a.get_xticklabels() for a in f_fourier_series.axes[:-1]], visible=False)

```

```python

```