Abstract: A differentiable Pixel-Super-Resolution (dPSR) lensless imaging system includes a light source, a sensor positioned to receive a beam of light from it to form a holographic image thereof. A platform for a sample is located between the light source and the sensor so the sensor receives light that has passed through a sample on the platform in the form of a series of images of the sample at a series of angles. A computer accepts the series of images from the sensor and reconstructs a full image of the target at a higher resolution than the sensor, by integrating differentiable PSR image hologram synthesis, autofocusing, and complex-field sample reconstruction with an inverse problem-solving algorithm into a single unified end-to-end framework. The automatic differentiation causes simultaneous reconstruction of (a) the complex field representing the sample, (b) the subpixel-shift scanning positions, and (c) the sample-to-sensor distance using gradient descent optimization.