Resampling Sharp PC-1500 tape recordings

Wednesday, 16th October 2024

This is a quick post about problems I'd been having loading tape cassette recordings from my PC to a Sharp PC-1500 Pocket Computer along with a potential solution for anyone having similar issues.

The Sharp PC-1500 is a small computer from the early 1980s that can run programs primarily written in BASIC. Programs can be saved to and loaded back from cassette tape but to do this requires it to be connected to the CE-150, a cassette interface that also includes a four-colour plotter. It's the plotter that really attracted me to the computer in the first place, but being able to load programs from cassette rather than having to type them in by hand is definitely a very handy feature!

Unfortunately this CE-150 interface contains an internal battery pack of five Ni-Cd cells. A certain amount of battery leakage is a risk in any old piece of electronics hardware, but having said battery pack soldered directly in with no easy way for the user to remove it for long-term storage makes it more of a certainty than a risk. My CE-150 had not escaped, with heavy corrosion visible on the metal plate under the computer…

The inside of the PC-1500 was a bit better and not quite as musty-smelling, but circuit board traces had definitely been eaten away in places and some of the internal metal structure was looking a bit crusty.

I cleaned up the rusty metal using some appliance descaler (and recorded a video of the process, which can be found on YouTube) then got to work with a scalpel and some fine enamelled copper wire to repair the damaged traces.

Thankfully when I put it all back together again I was greeted by the NEW0? :CHECK prompt, so I connected the computer to the CE-150 and confirmed I could save and load back programs using my PC in place of a cassette recorder. Hooray!

When looking to see what other people had managed to achieve with the computer I found the Sharp PC-1500 (TRS-80 PC-2) resource page which hosts several games and applications which can be downloaded in WAV format. I downloaded a few, but when playing them back on my PC the PC-1500 would refuse to load them. It could load from my own recordings, why not these?

The odd thing is that my own recordings started with a few seconds of constant pilot tone followed by the varying pulses of the program data I was trying to load. When playing back the downloaded recordings they'd start with silence and only make sound when they got to the actual data – and that data sounded quite unlike what my own recordings sounded like. What was going on? I opened a recording in Audacity to see what it looked like, and zoomed in:

That looks like the pilot tone, in that it alternates between high and low at a fixed frequency, though it's only one sample high then one sample low so is a square wave rather than the smooth sine wave I was expecting. The cassette format uses frequency-shift keying so I would expect to see data further on in the recording at half the frequency, or twice the period, i.e. two samples high and then two samples low. Scrolling along, I certainly find that:

Why does it look so spiky, though? It would only need to look like that if it had been sampled at an extremely low rate, and indeed that's what I found – these files are recorded at a 5kHz sample rate:

5kHz is a pretty unusual (and very low!) sample rate that I suspected my sound card was not handling particularly gracefully. Typically audio would need to be resampled to 44.1kHz or 48kHz before playing back, so I thought I'd try resampling in Audacity. This produced this weirdness:

Instead of a sine wave that alternates between two frequencies, I ended up with something more akin to an amplitude-modulated signal! The high-frequency pilot also disappears entirely, apart from what looks to be some initial ringing:

Now, this is a complete guess, but I suspect that what is happening is an attempt to reduce unpleasant harmonics in the resampled audio. A square wave (such as the one we're resampling) produces a lot of harmonics at higher frequencies. As the original audio was sampled at 5kHz, the highest frequency that this could represent was 2.5kHz (alternating high and low each sample, as per the pilot tone). A low-pass filter at 2.5kHz could therefore reduce the harmonics, though I'd still expect some of it to get through (rather than it being apparently being attenuated to zero in this case!) In any case, the signal is being destroyed by the resampling process, so it's no wonder the computer can't load the data.

So, what's the solution? A simpler resampling algorithm that just duplicates samples (a sort of "nearest neighbour") should give us an acceptable square wave when processing, however I could not find any way to achieve this natively in Audacity. Fortunately, though, there's a Nyquist Plugin script that can be used to repeat all samples (install via Tools→Nyquish Plugin Installer, then check it's listed in Tools→Plugin Manager – it will appear as Effect→Repeat Samples). As we want to end up around 44.1kHz the plugin can be used to repeat each sample eight times, which would take our 5kHz sample rate to 40kHz:

When played back the pilot tone can finally be heard, but it's at much too low a pitch! This is because the samples have been repeated eight times, but the track's sample rate hasn't been increased to match. This can be done by right-clicking the track and selecting Rate→Other and entering 40kHz:

Now when the clip is played back it sounds as it should. As a further experiment, the sample rate could be changed from its somewhat odd 40kHz to a more conventional 44.1kHz via Tracks→Resample. When this is done, the nice clean square wave loses definition again:

As I mentioned earlier, square waves have a lot of harmonics, and the resampling process makes these harmonics extremely visible riding on top and bottom of each cycle of the square wave. There is one way to clean this up quite nicely, however – as we want to cull high-frequency harmonics, and as the original recording could only represent frequencies up to 2.5kHz we can apply a low-pass filter at 2.5kHz from the Effects menu:

This resulting file sounds much better and loads into the computer as it should. It's a bit of a convoluted process, but it does at least bypass the resampling weirdness that distorts the original files in such a way that they can't be loaded. The only additional step I might recommend is to more neatly balance the signal around zero by normalising it as the first step:

In summary, the steps are as follows:

1. Normalise the file (Effect→Normalize)
2. Repeat all samples by 8× (Effect→Repeat Samples)
3. Set track sample rate to 8× what it was (right-click, Rate→Other, multiply the value by 8)
4. Resample to 44.1kHz (Tracks→Resample)
5. Low-pass filter at 2.5kHz (Effect→Low-Pass Filter)

Happy tape loading!