How do I learn about digital signal processing to start my ...

At the age of 30, with a background in Psychology and a decade of experience as a software engineer, I find myself drawn to the fascinating world of digital signal processing (DSP), synthesizers, and audio mathematics. My aspiration? To establish a company that develops and markets virtual instruments. Although I possess a strong grasp of software development, my knowledge in audio programming and the underlying mathematics is somewhat limited.
I completed Calculus I during my undergraduate studies, which left me pondering the various avenues available to deepen my understanding of the math involved in digital signal processing. I am open to exploring formal education options, such as pursuing another bachelor’s degree in Mathematics, as well as informal avenues like self-study through books and practical application. One particular curiosity I have is whether adults can attend university courses independent of a degree program.
Recognizing the breadth of this inquiry, I seek insight into how someone of my age and experience can navigate the path toward realizing my dream of creating virtual instruments.

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