The whole sequence is:
- Digitally synthesized spectrogram (lossless)
- Played through a DAC and speaker to produce an analogue signal (lossy)
- Heard by the bird (analogue, lossy)
- Reproduced by the bird (analogue, lossy)
- Captured by an ADC as a digital audio signal (lossy)
- Spectrum-analysed to observe a similar (but corrupted) reproduction of the shape in the original spectrogram
To be transferring digital information, we would instead need to modulate and demodulate the digital signal (exactly like an old modem) so that the analogue corruption does not affect the digital signal:
- Image file (lossless)
- Bit stream (lossless)
- Analogue modulation of bit stream played through DAC (lossy)
- Heard by the bird (lossy)
- Reproduced by the bird (lossy)
- Demodulated to recover exact bit stream despite distortion (lossless again)
- Decode bit stream to recover original image file, bit-for-bit perfect
I extremely doubt that this bird is capable of 2MB/s. For reference that would make it 280+ times fast than dialup, and barely slower than ADSL. This setup is basically just using the bird instead of a telephone line.